Is 812 a prime number? What are the divisors of 812?

## Parity of 812

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

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## 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:

## 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
Find out whether some integer is a prime number