Is 969 a prime number?

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

For 969, the answer is: No, 969 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 969) is as follows: 1, 3, 17, 19, 51, 57, 323, 969.

For 969 to be a prime number, it would have been required that 969 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

969 is a multiple of 1
969 is a multiple of 3
969 is a multiple of 17
969 is a multiple of 19
969 is a multiple of 51
969 is a multiple of 57
969 is a multiple of 323

For 969 to be a prime number, it would have been required that 969 has only two divisors, i.e., itself and 1.

Is 969 a deficient number?

Yes, 969 is a deficient number, that is to say 969 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 969 without 969 itself (that is 1 + 3 + 17 + 19 + 51 + 57 + 323 = 471).

Parity of 969

969 is an odd number, because it is not evenly divisible by 2.

Find out more:

What is an even number?

Is 969 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 969 is about 31.129.

Thus, the square root of 969 is not an integer, and therefore 969 is not a square number.

What is the square number of 969?

The square of a number (here 969) is the result of the product of this number (969) by itself (i.e., 969 × 969); the square of 969 is sometimes called "raising 969 to the power 2", or "969 squared".

The square of 969 is 938 961 because 969 × 969 = 969² = 938 961.

As a consequence, 969 is the square root of 938 961.

Number of digits of 969

969 is a number with 3 digits.

What are the multiples of 969?

The multiples of 969 are all integers evenly divisible by 969, that is all numbers such that the remainder of the division by 969 is zero. There are infinitely many multiples of 969. The smallest multiples of 969 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 969 too, since 0 × 969 = 0
969: indeed, 969 is a multiple of itself, since 969 is evenly divisible by 969 (we have 969 / 969 = 1, so the remainder of this division is indeed zero)
1 938: indeed, 1 938 = 969 × 2
2 907: indeed, 2 907 = 969 × 3
3 876: indeed, 3 876 = 969 × 4
4 845: indeed, 4 845 = 969 × 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 969). 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 31.129). 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 969

Preceding numbers: …967, 968
Following numbers: 970, 971…

Nearest numbers from 969

Preceding prime number: 967
Following prime number: 971