Is 8999 a prime number? What are the divisors of 8999?

## Is 8999 a prime number?

Yes, 8999 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 8999, the only two divisors are 1 and 8999. Therefore 8999 is a prime number.

As a consequence, 8999 is only a multiple of 1 and 8999.

Since 8999 is a prime number, 8999 is also a deficient number, that is to say 8999 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 8999 without 8999 itself (that is 1, by definition!).

## Parity of 8999

8999 is an odd number, because it is not evenly divisible by 2.

## Is 8999 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 8999 is about 94.863.

Thus, the square root of 8999 is not an integer, and therefore 8999 is not a square number.

Anyway, 8999 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 8999?

The square of a number (here 8999) is the result of the product of this number (8999) by itself (i.e., 8999 × 8999); the square of 8999 is sometimes called "raising 8999 to the power 2", or "8999 squared".

The square of 8999 is 80 982 001 because 8999 × 8999 = 89992 = 80 982 001.

As a consequence, 8999 is the square root of 80 982 001.

## Number of digits of 8999

8999 is a number with 4 digits.

## What are the multiples of 8999?

The multiples of 8999 are all integers evenly divisible by 8999, that is all numbers such that the remainder of the division by 8999 is zero. There are infinitely many multiples of 8999. The smallest multiples of 8999 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 8999 too, since 0 × 8999 = 0
• 8999: indeed, 8999 is a multiple of itself, since 8999 is evenly divisible by 8999 (we have 8999 / 8999 = 1, so the remainder of this division is indeed zero)
• 17 998: indeed, 17 998 = 8999 × 2
• 26 997: indeed, 26 997 = 8999 × 3
• 35 996: indeed, 35 996 = 8999 × 4
• 44 995: indeed, 44 995 = 8999 × 5
• etc.

## Nearest numbers from 8999

Find out whether some integer is a prime number