Is 9887 a prime number? What are the divisors of 9887?

## Is 9887 a prime number?

Yes, 9887 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 9887, the only two divisors are 1 and 9887. Therefore 9887 is a prime number.

As a consequence, 9887 is only a multiple of 1 and 9887.

Since 9887 is a prime number, 9887 is also a deficient number, that is to say 9887 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9887 without 9887 itself (that is 1, by definition!).

## Parity of 9887

9887 is an odd number, because it is not evenly divisible by 2.

## Is 9887 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 9887 is about 99.433.

Thus, the square root of 9887 is not an integer, and therefore 9887 is not a square number.

Anyway, 9887 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 9887?

The square of a number (here 9887) is the result of the product of this number (9887) by itself (i.e., 9887 × 9887); the square of 9887 is sometimes called "raising 9887 to the power 2", or "9887 squared".

The square of 9887 is 97 752 769 because 9887 × 9887 = 98872 = 97 752 769.

As a consequence, 9887 is the square root of 97 752 769.

## Number of digits of 9887

9887 is a number with 4 digits.

## What are the multiples of 9887?

The multiples of 9887 are all integers evenly divisible by 9887, that is all numbers such that the remainder of the division by 9887 is zero. There are infinitely many multiples of 9887. The smallest multiples of 9887 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9887 too, since 0 × 9887 = 0
• 9887: indeed, 9887 is a multiple of itself, since 9887 is evenly divisible by 9887 (we have 9887 / 9887 = 1, so the remainder of this division is indeed zero)
• 19 774: indeed, 19 774 = 9887 × 2
• 29 661: indeed, 29 661 = 9887 × 3
• 39 548: indeed, 39 548 = 9887 × 4
• 49 435: indeed, 49 435 = 9887 × 5
• etc.

## Nearest numbers from 9887

Find out whether some integer is a prime number