Is 965 a prime number? What are the divisors of 965?

## Parity of 965

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

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## Is 965 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 965 is about 31.064.

Thus, the square root of 965 is not an integer, and therefore 965 is not a square number.

## What is the square number of 965?

The square of a number (here 965) is the result of the product of this number (965) by itself (i.e., 965 × 965); the square of 965 is sometimes called "raising 965 to the power 2", or "965 squared".

The square of 965 is 931 225 because 965 × 965 = 9652 = 931 225.

As a consequence, 965 is the square root of 931 225.

## Number of digits of 965

965 is a number with 3 digits.

## What are the multiples of 965?

The multiples of 965 are all integers evenly divisible by 965, that is all numbers such that the remainder of the division by 965 is zero. There are infinitely many multiples of 965. The smallest multiples of 965 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 965). 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 31.064). 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 965

• Preceding numbers: …963, 964
• Following numbers: 966, 967

### Nearest numbers from 965

• Preceding prime number: 953
• Following prime number: 967
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