Is 864 a prime number? What are the divisors of 864?

## Parity of 864

864 is an even number, because it is evenly divisible by 2: 864 / 2 = 432.

Find out more:

## Is 864 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 864 is about 29.394.

Thus, the square root of 864 is not an integer, and therefore 864 is not a square number.

## What is the square number of 864?

The square of a number (here 864) is the result of the product of this number (864) by itself (i.e., 864 × 864); the square of 864 is sometimes called "raising 864 to the power 2", or "864 squared".

The square of 864 is 746 496 because 864 × 864 = 8642 = 746 496.

As a consequence, 864 is the square root of 746 496.

## Number of digits of 864

864 is a number with 3 digits.

## What are the multiples of 864?

The multiples of 864 are all integers evenly divisible by 864, that is all numbers such that the remainder of the division by 864 is zero. There are infinitely many multiples of 864. The smallest multiples of 864 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 864). 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 29.394). 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 864

• Preceding numbers: …862, 863
• Following numbers: 865, 866

### Nearest numbers from 864

• Preceding prime number: 863
• Following prime number: 877
Find out whether some integer is a prime number