Is 11987 a prime number? What are the divisors of 11987?

## Is 11987 a prime number?

Yes, 11987 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 11987, the only two divisors are 1 and 11987. Therefore 11987 is a prime number.

As a consequence, 11987 is only a multiple of 1 and 11987.

Since 11987 is a prime number, 11987 is also a deficient number, that is to say 11987 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 11987 without 11987 itself (that is 1, by definition!).

## Parity of 11987

11987 is an odd number, because it is not evenly divisible by 2.

## Is 11987 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 11987 is about 109.485.

Thus, the square root of 11987 is not an integer, and therefore 11987 is not a square number.

Anyway, 11987 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 11987?

The square of a number (here 11987) is the result of the product of this number (11987) by itself (i.e., 11987 × 11987); the square of 11987 is sometimes called "raising 11987 to the power 2", or "11987 squared".

The square of 11987 is 143 688 169 because 11987 × 11987 = 119872 = 143 688 169.

As a consequence, 11987 is the square root of 143 688 169.

## Number of digits of 11987

11987 is a number with 5 digits.

## What are the multiples of 11987?

The multiples of 11987 are all integers evenly divisible by 11987, that is all numbers such that the remainder of the division by 11987 is zero. There are infinitely many multiples of 11987. The smallest multiples of 11987 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 11987 too, since 0 × 11987 = 0
• 11987: indeed, 11987 is a multiple of itself, since 11987 is evenly divisible by 11987 (we have 11987 / 11987 = 1, so the remainder of this division is indeed zero)
• 23 974: indeed, 23 974 = 11987 × 2
• 35 961: indeed, 35 961 = 11987 × 3
• 47 948: indeed, 47 948 = 11987 × 4
• 59 935: indeed, 59 935 = 11987 × 5
• etc.

## Nearest numbers from 11987

Find out whether some integer is a prime number