Is 24967 a prime number? What are the divisors of 24967?

## Is 24967 a prime number?

Yes, 24967 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 24967, the only two divisors are 1 and 24967. Therefore 24967 is a prime number.

As a consequence, 24967 is only a multiple of 1 and 24967.

Since 24967 is a prime number, 24967 is also a deficient number, that is to say 24967 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 24967 without 24967 itself (that is 1, by definition!).

## Parity of 24967

24967 is an odd number, because it is not evenly divisible by 2.

## Is 24967 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 24967 is about 158.009.

Thus, the square root of 24967 is not an integer, and therefore 24967 is not a square number.

Anyway, 24967 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 24967?

The square of a number (here 24967) is the result of the product of this number (24967) by itself (i.e., 24967 × 24967); the square of 24967 is sometimes called "raising 24967 to the power 2", or "24967 squared".

The square of 24967 is 623 351 089 because 24967 × 24967 = 249672 = 623 351 089.

As a consequence, 24967 is the square root of 623 351 089.

## Number of digits of 24967

24967 is a number with 5 digits.

## What are the multiples of 24967?

The multiples of 24967 are all integers evenly divisible by 24967, that is all numbers such that the remainder of the division by 24967 is zero. There are infinitely many multiples of 24967. The smallest multiples of 24967 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 24967 too, since 0 × 24967 = 0
• 24967: indeed, 24967 is a multiple of itself, since 24967 is evenly divisible by 24967 (we have 24967 / 24967 = 1, so the remainder of this division is indeed zero)
• 49 934: indeed, 49 934 = 24967 × 2
• 74 901: indeed, 74 901 = 24967 × 3
• 99 868: indeed, 99 868 = 24967 × 4
• 124 835: indeed, 124 835 = 24967 × 5
• etc.

## Nearest numbers from 24967

Find out whether some integer is a prime number