Is 5987 a prime number? What are the divisors of 5987?

## Is 5987 a prime number?

Yes, 5987 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 5987, the only two divisors are 1 and 5987. Therefore 5987 is a prime number.

As a consequence, 5987 is only a multiple of 1 and 5987.

Since 5987 is a prime number, 5987 is also a deficient number, that is to say 5987 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 5987 without 5987 itself (that is 1, by definition!).

## Parity of 5987

5987 is an odd number, because it is not evenly divisible by 2.

## Is 5987 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 5987 is about 77.376.

Thus, the square root of 5987 is not an integer, and therefore 5987 is not a square number.

Anyway, 5987 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 5987?

The square of a number (here 5987) is the result of the product of this number (5987) by itself (i.e., 5987 × 5987); the square of 5987 is sometimes called "raising 5987 to the power 2", or "5987 squared".

The square of 5987 is 35 844 169 because 5987 × 5987 = 59872 = 35 844 169.

As a consequence, 5987 is the square root of 35 844 169.

## Number of digits of 5987

5987 is a number with 4 digits.

## What are the multiples of 5987?

The multiples of 5987 are all integers evenly divisible by 5987, that is all numbers such that the remainder of the division by 5987 is zero. There are infinitely many multiples of 5987. The smallest multiples of 5987 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 5987 too, since 0 × 5987 = 0
• 5987: indeed, 5987 is a multiple of itself, since 5987 is evenly divisible by 5987 (we have 5987 / 5987 = 1, so the remainder of this division is indeed zero)
• 11 974: indeed, 11 974 = 5987 × 2
• 17 961: indeed, 17 961 = 5987 × 3
• 23 948: indeed, 23 948 = 5987 × 4
• 29 935: indeed, 29 935 = 5987 × 5
• etc.

## Nearest numbers from 5987

Find out whether some integer is a prime number