Is 8329 a prime number? What are the divisors of 8329?

## Is 8329 a prime number?

Yes, 8329 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 8329, the only two divisors are 1 and 8329. Therefore 8329 is a prime number.

As a consequence, 8329 is only a multiple of 1 and 8329.

Since 8329 is a prime number, 8329 is also a deficient number, that is to say 8329 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 8329 without 8329 itself (that is 1, by definition!).

## Parity of 8329

8329 is an odd number, because it is not evenly divisible by 2.

## Is 8329 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 8329 is about 91.263.

Thus, the square root of 8329 is not an integer, and therefore 8329 is not a square number.

Anyway, 8329 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 8329?

The square of a number (here 8329) is the result of the product of this number (8329) by itself (i.e., 8329 × 8329); the square of 8329 is sometimes called "raising 8329 to the power 2", or "8329 squared".

The square of 8329 is 69 372 241 because 8329 × 8329 = 83292 = 69 372 241.

As a consequence, 8329 is the square root of 69 372 241.

## Number of digits of 8329

8329 is a number with 4 digits.

## What are the multiples of 8329?

The multiples of 8329 are all integers evenly divisible by 8329, that is all numbers such that the remainder of the division by 8329 is zero. There are infinitely many multiples of 8329. The smallest multiples of 8329 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 8329 too, since 0 × 8329 = 0
• 8329: indeed, 8329 is a multiple of itself, since 8329 is evenly divisible by 8329 (we have 8329 / 8329 = 1, so the remainder of this division is indeed zero)
• 16 658: indeed, 16 658 = 8329 × 2
• 24 987: indeed, 24 987 = 8329 × 3
• 33 316: indeed, 33 316 = 8329 × 4
• 41 645: indeed, 41 645 = 8329 × 5
• etc.

## Nearest numbers from 8329

Find out whether some integer is a prime number