Is 8059 a prime number? What are the divisors of 8059?

## Is 8059 a prime number?

Yes, 8059 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 8059, the only two divisors are 1 and 8059. Therefore 8059 is a prime number.

As a consequence, 8059 is only a multiple of 1 and 8059.

Since 8059 is a prime number, 8059 is also a deficient number, that is to say 8059 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 8059 without 8059 itself (that is 1, by definition!).

## Parity of 8059

8059 is an odd number, because it is not evenly divisible by 2.

## Is 8059 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 8059 is about 89.772.

Thus, the square root of 8059 is not an integer, and therefore 8059 is not a square number.

Anyway, 8059 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 8059?

The square of a number (here 8059) is the result of the product of this number (8059) by itself (i.e., 8059 × 8059); the square of 8059 is sometimes called "raising 8059 to the power 2", or "8059 squared".

The square of 8059 is 64 947 481 because 8059 × 8059 = 80592 = 64 947 481.

As a consequence, 8059 is the square root of 64 947 481.

## Number of digits of 8059

8059 is a number with 4 digits.

## What are the multiples of 8059?

The multiples of 8059 are all integers evenly divisible by 8059, that is all numbers such that the remainder of the division by 8059 is zero. There are infinitely many multiples of 8059. The smallest multiples of 8059 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 8059 too, since 0 × 8059 = 0
• 8059: indeed, 8059 is a multiple of itself, since 8059 is evenly divisible by 8059 (we have 8059 / 8059 = 1, so the remainder of this division is indeed zero)
• 16 118: indeed, 16 118 = 8059 × 2
• 24 177: indeed, 24 177 = 8059 × 3
• 32 236: indeed, 32 236 = 8059 × 4
• 40 295: indeed, 40 295 = 8059 × 5
• etc.

## Nearest numbers from 8059

Find out whether some integer is a prime number