Is 812 a prime number?

It is possible to find out using mathematical methods whether a given integer is a prime number or not.

For 812, the answer is: No, 812 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 812) is as follows: 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812.

For 812 to be a prime number, it would have been required that 812 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

812 is a multiple of 1
812 is a multiple of 2
812 is a multiple of 4
812 is a multiple of 7
812 is a multiple of 14
812 is a multiple of 28
812 is a multiple of 29
812 is a multiple of 58
812 is a multiple of 116
812 is a multiple of 203
812 is a multiple of 406

For 812 to be a prime number, it would have been required that 812 has only two divisors, i.e., itself and 1.

Is 812 a deficient number?

No, 812 is not a deficient number: to be deficient, 812 should have been such that 812 is larger than the sum of its proper divisors, i.e., the divisors of 812 without 812 itself (that is 1 + 2 + 4 + 7 + 14 + 28 + 29 + 58 + 116 + 203 + 406 = 868).

In fact, 812 is an abundant number; 812 is strictly smaller than the sum of its proper divisors (that is 1 + 2 + 4 + 7 + 14 + 28 + 29 + 58 + 116 + 203 + 406 = 868). The smallest abundant number is 12.

Parity of 812

812 is an even number, because it is evenly divisible by 2: 812 / 2 = 406.

Find out more:

What is an even number?

Is 812 a perfect square number?

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 812 is about 28.496.

Thus, the square root of 812 is not an integer, and therefore 812 is not a square number.

What is the square number of 812?

The square of a number (here 812) is the result of the product of this number (812) by itself (i.e., 812 × 812); the square of 812 is sometimes called "raising 812 to the power 2", or "812 squared".

The square of 812 is 659 344 because 812 × 812 = 812² = 659 344.

As a consequence, 812 is the square root of 659 344.

Number of digits of 812

812 is a number with 3 digits.

What are the multiples of 812?

The multiples of 812 are all integers evenly divisible by 812, that is all numbers such that the remainder of the division by 812 is zero. There are infinitely many multiples of 812. The smallest multiples of 812 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 812 too, since 0 × 812 = 0
812: indeed, 812 is a multiple of itself, since 812 is evenly divisible by 812 (we have 812 / 812 = 1, so the remainder of this division is indeed zero)
1 624: indeed, 1 624 = 812 × 2
2 436: indeed, 2 436 = 812 × 3
3 248: indeed, 3 248 = 812 × 4
4 060: indeed, 4 060 = 812 × 5
etc.

How to determine whether an integer is a prime number?

To determine the primality of a number, several algorithms can be used. The most naive technique is to test all divisors strictly smaller to the number of which we want to determine the primality (here 812). First, we can eliminate all even numbers greater than 2 (and hence 4, 6, 8…). Then, we can stop this check when we reach the square root of the number of which we want to determine the primality (here the square root is about 28.496). Historically, the sieve of Eratosthenes (dating from the Greek mathematics) implements this technique in a relatively efficient manner.

More modern techniques include the sieve of Atkin, probabilistic algorithms, and the cyclotomic AKS test.

Numbers near 812

Preceding numbers: …810, 811
Following numbers: 813, 814…

Nearest numbers from 812

Preceding prime number: 811
Following prime number: 821