Is 9679 a prime number? What are the divisors of 9679?

## Is 9679 a prime number?

Yes, 9679 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 9679, the only two divisors are 1 and 9679. Therefore 9679 is a prime number.

As a consequence, 9679 is only a multiple of 1 and 9679.

Since 9679 is a prime number, 9679 is also a deficient number, that is to say 9679 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9679 without 9679 itself (that is 1, by definition!).

## Parity of 9679

9679 is an odd number, because it is not evenly divisible by 2.

## Is 9679 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 9679 is about 98.382.

Thus, the square root of 9679 is not an integer, and therefore 9679 is not a square number.

Anyway, 9679 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 9679?

The square of a number (here 9679) is the result of the product of this number (9679) by itself (i.e., 9679 × 9679); the square of 9679 is sometimes called "raising 9679 to the power 2", or "9679 squared".

The square of 9679 is 93 683 041 because 9679 × 9679 = 96792 = 93 683 041.

As a consequence, 9679 is the square root of 93 683 041.

## Number of digits of 9679

9679 is a number with 4 digits.

## What are the multiples of 9679?

The multiples of 9679 are all integers evenly divisible by 9679, that is all numbers such that the remainder of the division by 9679 is zero. There are infinitely many multiples of 9679. The smallest multiples of 9679 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9679 too, since 0 × 9679 = 0
• 9679: indeed, 9679 is a multiple of itself, since 9679 is evenly divisible by 9679 (we have 9679 / 9679 = 1, so the remainder of this division is indeed zero)
• 19 358: indeed, 19 358 = 9679 × 2
• 29 037: indeed, 29 037 = 9679 × 3
• 38 716: indeed, 38 716 = 9679 × 4
• 48 395: indeed, 48 395 = 9679 × 5
• etc.

## Nearest numbers from 9679

Find out whether some integer is a prime number