Is 969 a prime number? What are the divisors of 969?

## Parity of 969

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

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## 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:

## 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
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