Is 966 a prime number? What are the divisors of 966?

## Parity of 966

966 is an even number, because it is evenly divisible by 2: 966 / 2 = 483.

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## Is 966 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 966 is about 31.081.

Thus, the square root of 966 is not an integer, and therefore 966 is not a square number.

## What is the square number of 966?

The square of a number (here 966) is the result of the product of this number (966) by itself (i.e., 966 × 966); the square of 966 is sometimes called "raising 966 to the power 2", or "966 squared".

The square of 966 is 933 156 because 966 × 966 = 9662 = 933 156.

As a consequence, 966 is the square root of 933 156.

## Number of digits of 966

966 is a number with 3 digits.

## What are the multiples of 966?

The multiples of 966 are all integers evenly divisible by 966, that is all numbers such that the remainder of the division by 966 is zero. There are infinitely many multiples of 966. The smallest multiples of 966 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 966). 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 31.081). 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 966

• Preceding numbers: …964, 965
• Following numbers: 967, 968

### Nearest numbers from 966

• Preceding prime number: 953
• Following prime number: 967
Find out whether some integer is a prime number