Is 9059 a prime number? What are the divisors of 9059?

## Is 9059 a prime number?

Yes, 9059 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 9059, the only two divisors are 1 and 9059. Therefore 9059 is a prime number.

As a consequence, 9059 is only a multiple of 1 and 9059.

Since 9059 is a prime number, 9059 is also a deficient number, that is to say 9059 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9059 without 9059 itself (that is 1, by definition!).

## Parity of 9059

9059 is an odd number, because it is not evenly divisible by 2.

## Is 9059 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 9059 is about 95.179.

Thus, the square root of 9059 is not an integer, and therefore 9059 is not a square number.

Anyway, 9059 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 9059?

The square of a number (here 9059) is the result of the product of this number (9059) by itself (i.e., 9059 × 9059); the square of 9059 is sometimes called "raising 9059 to the power 2", or "9059 squared".

The square of 9059 is 82 065 481 because 9059 × 9059 = 90592 = 82 065 481.

As a consequence, 9059 is the square root of 82 065 481.

## Number of digits of 9059

9059 is a number with 4 digits.

## What are the multiples of 9059?

The multiples of 9059 are all integers evenly divisible by 9059, that is all numbers such that the remainder of the division by 9059 is zero. There are infinitely many multiples of 9059. The smallest multiples of 9059 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9059 too, since 0 × 9059 = 0
• 9059: indeed, 9059 is a multiple of itself, since 9059 is evenly divisible by 9059 (we have 9059 / 9059 = 1, so the remainder of this division is indeed zero)
• 18 118: indeed, 18 118 = 9059 × 2
• 27 177: indeed, 27 177 = 9059 × 3
• 36 236: indeed, 36 236 = 9059 × 4
• 45 295: indeed, 45 295 = 9059 × 5
• etc.

## Nearest numbers from 9059

Find out whether some integer is a prime number