Is 8689 a prime number? What are the divisors of 8689?

## Is 8689 a prime number?

Yes, 8689 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 8689, the only two divisors are 1 and 8689. Therefore 8689 is a prime number.

As a consequence, 8689 is only a multiple of 1 and 8689.

Since 8689 is a prime number, 8689 is also a deficient number, that is to say 8689 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 8689 without 8689 itself (that is 1, by definition!).

## Parity of 8689

8689 is an odd number, because it is not evenly divisible by 2.

## Is 8689 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 8689 is about 93.215.

Thus, the square root of 8689 is not an integer, and therefore 8689 is not a square number.

Anyway, 8689 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 8689?

The square of a number (here 8689) is the result of the product of this number (8689) by itself (i.e., 8689 × 8689); the square of 8689 is sometimes called "raising 8689 to the power 2", or "8689 squared".

The square of 8689 is 75 498 721 because 8689 × 8689 = 86892 = 75 498 721.

As a consequence, 8689 is the square root of 75 498 721.

## Number of digits of 8689

8689 is a number with 4 digits.

## What are the multiples of 8689?

The multiples of 8689 are all integers evenly divisible by 8689, that is all numbers such that the remainder of the division by 8689 is zero. There are infinitely many multiples of 8689. The smallest multiples of 8689 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 8689 too, since 0 × 8689 = 0
• 8689: indeed, 8689 is a multiple of itself, since 8689 is evenly divisible by 8689 (we have 8689 / 8689 = 1, so the remainder of this division is indeed zero)
• 17 378: indeed, 17 378 = 8689 × 2
• 26 067: indeed, 26 067 = 8689 × 3
• 34 756: indeed, 34 756 = 8689 × 4
• 43 445: indeed, 43 445 = 8689 × 5
• etc.

## Nearest numbers from 8689

Find out whether some integer is a prime number