Is 1987 a prime number? What are the divisors of 1987?

## Is 1987 a prime number?

Yes, 1987 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 1987, the only two divisors are 1 and 1987. Therefore 1987 is a prime number.

As a consequence, 1987 is only a multiple of 1 and 1987.

Therefore year 1987 was a prime year.

Since 1987 is a prime number, 1987 is also a deficient number, that is to say 1987 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1987 without 1987 itself (that is 1, by definition!).

## Parity of 1987

1987 is an odd number, because it is not evenly divisible by 2.

## Is 1987 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 1987 is about 44.576.

Thus, the square root of 1987 is not an integer, and therefore 1987 is not a square number.

Anyway, 1987 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1987?

The square of a number (here 1987) is the result of the product of this number (1987) by itself (i.e., 1987 × 1987); the square of 1987 is sometimes called "raising 1987 to the power 2", or "1987 squared".

The square of 1987 is 3 948 169 because 1987 × 1987 = 19872 = 3 948 169.

As a consequence, 1987 is the square root of 3 948 169.

## Number of digits of 1987

1987 is a number with 4 digits.

## What are the multiples of 1987?

The multiples of 1987 are all integers evenly divisible by 1987, that is all numbers such that the remainder of the division by 1987 is zero. There are infinitely many multiples of 1987. The smallest multiples of 1987 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1987 too, since 0 × 1987 = 0
• 1987: indeed, 1987 is a multiple of itself, since 1987 is evenly divisible by 1987 (we have 1987 / 1987 = 1, so the remainder of this division is indeed zero)
• 3 974: indeed, 3 974 = 1987 × 2
• 5 961: indeed, 5 961 = 1987 × 3
• 7 948: indeed, 7 948 = 1987 × 4
• 9 935: indeed, 9 935 = 1987 × 5
• etc.

## Nearest numbers from 1987

Find out whether some integer is a prime number