Is 868 a prime number? What are the divisors of 868?

## Parity of 868

868 is an even number, because it is evenly divisible by 2: 868 / 2 = 434.

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## Is 868 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 868 is about 29.462.

Thus, the square root of 868 is not an integer, and therefore 868 is not a square number.

## What is the square number of 868?

The square of a number (here 868) is the result of the product of this number (868) by itself (i.e., 868 × 868); the square of 868 is sometimes called "raising 868 to the power 2", or "868 squared".

The square of 868 is 753 424 because 868 × 868 = 8682 = 753 424.

As a consequence, 868 is the square root of 753 424.

## Number of digits of 868

868 is a number with 3 digits.

## What are the multiples of 868?

The multiples of 868 are all integers evenly divisible by 868, that is all numbers such that the remainder of the division by 868 is zero. There are infinitely many multiples of 868. The smallest multiples of 868 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 868). 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 29.462). 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 868

• Preceding numbers: …866, 867
• Following numbers: 869, 870

### Nearest numbers from 868

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