Is 9631 a prime number? What are the divisors of 9631?

## Is 9631 a prime number?

Yes, 9631 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 9631, the only two divisors are 1 and 9631. Therefore 9631 is a prime number.

As a consequence, 9631 is only a multiple of 1 and 9631.

Since 9631 is a prime number, 9631 is also a deficient number, that is to say 9631 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9631 without 9631 itself (that is 1, by definition!).

## Parity of 9631

9631 is an odd number, because it is not evenly divisible by 2.

## Is 9631 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 9631 is about 98.138.

Thus, the square root of 9631 is not an integer, and therefore 9631 is not a square number.

Anyway, 9631 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 9631?

The square of a number (here 9631) is the result of the product of this number (9631) by itself (i.e., 9631 × 9631); the square of 9631 is sometimes called "raising 9631 to the power 2", or "9631 squared".

The square of 9631 is 92 756 161 because 9631 × 9631 = 96312 = 92 756 161.

As a consequence, 9631 is the square root of 92 756 161.

## Number of digits of 9631

9631 is a number with 4 digits.

## What are the multiples of 9631?

The multiples of 9631 are all integers evenly divisible by 9631, that is all numbers such that the remainder of the division by 9631 is zero. There are infinitely many multiples of 9631. The smallest multiples of 9631 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9631 too, since 0 × 9631 = 0
• 9631: indeed, 9631 is a multiple of itself, since 9631 is evenly divisible by 9631 (we have 9631 / 9631 = 1, so the remainder of this division is indeed zero)
• 19 262: indeed, 19 262 = 9631 × 2
• 28 893: indeed, 28 893 = 9631 × 3
• 38 524: indeed, 38 524 = 9631 × 4
• 48 155: indeed, 48 155 = 9631 × 5
• etc.

## Nearest numbers from 9631

Find out whether some integer is a prime number