Is 9629 a prime number? What are the divisors of 9629?

## Is 9629 a prime number?

Yes, 9629 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 9629, the only two divisors are 1 and 9629. Therefore 9629 is a prime number.

As a consequence, 9629 is only a multiple of 1 and 9629.

Since 9629 is a prime number, 9629 is also a deficient number, that is to say 9629 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9629 without 9629 itself (that is 1, by definition!).

## Parity of 9629

9629 is an odd number, because it is not evenly divisible by 2.

## Is 9629 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 9629 is about 98.127.

Thus, the square root of 9629 is not an integer, and therefore 9629 is not a square number.

Anyway, 9629 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 9629?

The square of a number (here 9629) is the result of the product of this number (9629) by itself (i.e., 9629 × 9629); the square of 9629 is sometimes called "raising 9629 to the power 2", or "9629 squared".

The square of 9629 is 92 717 641 because 9629 × 9629 = 96292 = 92 717 641.

As a consequence, 9629 is the square root of 92 717 641.

## Number of digits of 9629

9629 is a number with 4 digits.

## What are the multiples of 9629?

The multiples of 9629 are all integers evenly divisible by 9629, that is all numbers such that the remainder of the division by 9629 is zero. There are infinitely many multiples of 9629. The smallest multiples of 9629 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9629 too, since 0 × 9629 = 0
• 9629: indeed, 9629 is a multiple of itself, since 9629 is evenly divisible by 9629 (we have 9629 / 9629 = 1, so the remainder of this division is indeed zero)
• 19 258: indeed, 19 258 = 9629 × 2
• 28 887: indeed, 28 887 = 9629 × 3
• 38 516: indeed, 38 516 = 9629 × 4
• 48 145: indeed, 48 145 = 9629 × 5
• etc.

## Nearest numbers from 9629

Find out whether some integer is a prime number