Is 23831 a prime number? What are the divisors of 23831?

## Is 23831 a prime number?

Yes, 23831 is a prime number.

Indeed, the definition of a prime numbers is to have only two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 23831, the only two divisors are 1 and 23831. Therefore 23831 is a prime number.

As a consequence, 23831 is only a multiple of 1 and 23831.

Since 23831 is a prime number, 23831 is also a deficient number, that is to say 23831 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 23831 without 23831 itself (that is 1, by definition!).

## Parity of 23831

23831 is an odd number, because it is not evenly divisible by 2.

## Is 23831 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 23831 is about 154.373.

Thus, the square root of 23831 is not an integer, and therefore 23831 is not a square number.

Anyway, 23831 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 23831?

The square of a number (here 23831) is the result of the product of this number (23831) by itself (i.e., 23831 × 23831); the square of 23831 is sometimes called "raising 23831 to the power 2", or "23831 squared".

The square of 23831 is 567 916 561 because 23831 × 23831 = 238312 = 567 916 561.

As a consequence, 23831 is the square root of 567 916 561.

## Number of digits of 23831

23831 is a number with 5 digits.

## What are the multiples of 23831?

The multiples of 23831 are all integers evenly divisible by 23831, that is all numbers such that the remainder of the division by 23831 is zero. There are infinitely many multiples of 23831. The smallest multiples of 23831 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 23831 too, since 0 × 23831 = 0
• 23831: indeed, 23831 is a multiple of itself, since 23831 is evenly divisible by 23831 (we have 23831 / 23831 = 1, so the remainder of this division is indeed zero)
• 47 662: indeed, 47 662 = 23831 × 2
• 71 493: indeed, 71 493 = 23831 × 3
• 95 324: indeed, 95 324 = 23831 × 4
• 119 155: indeed, 119 155 = 23831 × 5
• etc.

## Nearest numbers from 23831

Find out whether some integer is a prime number