Is 11959 a prime number? What are the divisors of 11959?

## Is 11959 a prime number?

Yes, 11959 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 11959, the only two divisors are 1 and 11959. Therefore 11959 is a prime number.

As a consequence, 11959 is only a multiple of 1 and 11959.

Since 11959 is a prime number, 11959 is also a deficient number, that is to say 11959 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 11959 without 11959 itself (that is 1, by definition!).

## Parity of 11959

11959 is an odd number, because it is not evenly divisible by 2.

## Is 11959 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 11959 is about 109.357.

Thus, the square root of 11959 is not an integer, and therefore 11959 is not a square number.

Anyway, 11959 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 11959?

The square of a number (here 11959) is the result of the product of this number (11959) by itself (i.e., 11959 × 11959); the square of 11959 is sometimes called "raising 11959 to the power 2", or "11959 squared".

The square of 11959 is 143 017 681 because 11959 × 11959 = 119592 = 143 017 681.

As a consequence, 11959 is the square root of 143 017 681.

## Number of digits of 11959

11959 is a number with 5 digits.

## What are the multiples of 11959?

The multiples of 11959 are all integers evenly divisible by 11959, that is all numbers such that the remainder of the division by 11959 is zero. There are infinitely many multiples of 11959. The smallest multiples of 11959 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 11959 too, since 0 × 11959 = 0
• 11959: indeed, 11959 is a multiple of itself, since 11959 is evenly divisible by 11959 (we have 11959 / 11959 = 1, so the remainder of this division is indeed zero)
• 23 918: indeed, 23 918 = 11959 × 2
• 35 877: indeed, 35 877 = 11959 × 3
• 47 836: indeed, 47 836 = 11959 × 4
• 59 795: indeed, 59 795 = 11959 × 5
• etc.

## Nearest numbers from 11959

Find out whether some integer is a prime number