Is 8629 a prime number? What are the divisors of 8629?

## Is 8629 a prime number?

Yes, 8629 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 8629, the only two divisors are 1 and 8629. Therefore 8629 is a prime number.

As a consequence, 8629 is only a multiple of 1 and 8629.

Since 8629 is a prime number, 8629 is also a deficient number, that is to say 8629 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 8629 without 8629 itself (that is 1, by definition!).

## Parity of 8629

8629 is an odd number, because it is not evenly divisible by 2.

## Is 8629 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 8629 is about 92.892.

Thus, the square root of 8629 is not an integer, and therefore 8629 is not a square number.

Anyway, 8629 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 8629?

The square of a number (here 8629) is the result of the product of this number (8629) by itself (i.e., 8629 × 8629); the square of 8629 is sometimes called "raising 8629 to the power 2", or "8629 squared".

The square of 8629 is 74 459 641 because 8629 × 8629 = 86292 = 74 459 641.

As a consequence, 8629 is the square root of 74 459 641.

## Number of digits of 8629

8629 is a number with 4 digits.

## What are the multiples of 8629?

The multiples of 8629 are all integers evenly divisible by 8629, that is all numbers such that the remainder of the division by 8629 is zero. There are infinitely many multiples of 8629. The smallest multiples of 8629 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 8629 too, since 0 × 8629 = 0
• 8629: indeed, 8629 is a multiple of itself, since 8629 is evenly divisible by 8629 (we have 8629 / 8629 = 1, so the remainder of this division is indeed zero)
• 17 258: indeed, 17 258 = 8629 × 2
• 25 887: indeed, 25 887 = 8629 × 3
• 34 516: indeed, 34 516 = 8629 × 4
• 43 145: indeed, 43 145 = 8629 × 5
• etc.

## Nearest numbers from 8629

Find out whether some integer is a prime number