## Is 4987 a prime number?

Yes, 4987 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 4987, the only two divisors are 1 and 4987. Therefore 4987 is a prime number.

As a consequence, 4987 is only a multiple of 1 and 4987.

Since 4987 is a prime number, 4987 is also a deficient number, that is to say 4987 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 4987 without 4987 itself (that is 1, by definition!).

## Parity of 4987

4987 is an odd number, because it is not evenly divisible by 2.

## Is 4987 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 4987 is about 70.619.

Thus, the square root of 4987 is not an integer, and therefore 4987 is not a square number.

Anyway, 4987 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 4987?

The square of a number (here 4987) is the result of the product of this number (4987) by itself (i.e., 4987 × 4987); the square of 4987 is sometimes called "raising 4987 to the power 2", or "4987 squared".

The square of 4987 is 24 870 169 because 4987 × 4987 = 4987^{2} = 24 870 169.

As a consequence, 4987 is the square root of 24 870 169.

## Number of digits of 4987

4987 is a number with 4 digits.

## What are the multiples of 4987?

The multiples of 4987 are all integers evenly divisible by 4987, that is all numbers such that the remainder of the division by 4987 is zero. There are infinitely many multiples of 4987. The smallest multiples of 4987 are:

- 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4987 too, since 0 × 4987 = 0
- 4987: indeed, 4987 is a multiple of itself, since 4987 is evenly divisible by 4987 (we have 4987 / 4987 = 1, so the remainder of this division is indeed zero)
- 9 974: indeed, 9 974 = 4987 × 2
- 14 961: indeed, 14 961 = 4987 × 3
- 19 948: indeed, 19 948 = 4987 × 4
- 24 935: indeed, 24 935 = 4987 × 5
- etc.