Is 9689 a prime number? What are the divisors of 9689?

## Is 9689 a prime number?

Yes, 9689 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 9689, the only two divisors are 1 and 9689. Therefore 9689 is a prime number.

As a consequence, 9689 is only a multiple of 1 and 9689.

Since 9689 is a prime number, 9689 is also a deficient number, that is to say 9689 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9689 without 9689 itself (that is 1, by definition!).

## Parity of 9689

9689 is an odd number, because it is not evenly divisible by 2.

## Is 9689 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 9689 is about 98.433.

Thus, the square root of 9689 is not an integer, and therefore 9689 is not a square number.

Anyway, 9689 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 9689?

The square of a number (here 9689) is the result of the product of this number (9689) by itself (i.e., 9689 × 9689); the square of 9689 is sometimes called "raising 9689 to the power 2", or "9689 squared".

The square of 9689 is 93 876 721 because 9689 × 9689 = 96892 = 93 876 721.

As a consequence, 9689 is the square root of 93 876 721.

## Number of digits of 9689

9689 is a number with 4 digits.

## What are the multiples of 9689?

The multiples of 9689 are all integers evenly divisible by 9689, that is all numbers such that the remainder of the division by 9689 is zero. There are infinitely many multiples of 9689. The smallest multiples of 9689 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9689 too, since 0 × 9689 = 0
• 9689: indeed, 9689 is a multiple of itself, since 9689 is evenly divisible by 9689 (we have 9689 / 9689 = 1, so the remainder of this division is indeed zero)
• 19 378: indeed, 19 378 = 9689 × 2
• 29 067: indeed, 29 067 = 9689 × 3
• 38 756: indeed, 38 756 = 9689 × 4
• 48 445: indeed, 48 445 = 9689 × 5
• etc.

## Nearest numbers from 9689

Find out whether some integer is a prime number