Is 10987 a prime number? What are the divisors of 10987?

## Is 10987 a prime number?

Yes, 10987 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 10987, the only two divisors are 1 and 10987. Therefore 10987 is a prime number.

As a consequence, 10987 is only a multiple of 1 and 10987.

Since 10987 is a prime number, 10987 is also a deficient number, that is to say 10987 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 10987 without 10987 itself (that is 1, by definition!).

## Parity of 10987

10987 is an odd number, because it is not evenly divisible by 2.

## Is 10987 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 10987 is about 104.819.

Thus, the square root of 10987 is not an integer, and therefore 10987 is not a square number.

Anyway, 10987 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 10987?

The square of a number (here 10987) is the result of the product of this number (10987) by itself (i.e., 10987 × 10987); the square of 10987 is sometimes called "raising 10987 to the power 2", or "10987 squared".

The square of 10987 is 120 714 169 because 10987 × 10987 = 109872 = 120 714 169.

As a consequence, 10987 is the square root of 120 714 169.

## Number of digits of 10987

10987 is a number with 5 digits.

## What are the multiples of 10987?

The multiples of 10987 are all integers evenly divisible by 10987, that is all numbers such that the remainder of the division by 10987 is zero. There are infinitely many multiples of 10987. The smallest multiples of 10987 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10987 too, since 0 × 10987 = 0
• 10987: indeed, 10987 is a multiple of itself, since 10987 is evenly divisible by 10987 (we have 10987 / 10987 = 1, so the remainder of this division is indeed zero)
• 21 974: indeed, 21 974 = 10987 × 2
• 32 961: indeed, 32 961 = 10987 × 3
• 43 948: indeed, 43 948 = 10987 × 4
• 54 935: indeed, 54 935 = 10987 × 5
• etc.

## Nearest numbers from 10987

Find out whether some integer is a prime number