Is 8089 a prime number? What are the divisors of 8089?

## Is 8089 a prime number?

Yes, 8089 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 8089, the only two divisors are 1 and 8089. Therefore 8089 is a prime number.

As a consequence, 8089 is only a multiple of 1 and 8089.

Since 8089 is a prime number, 8089 is also a deficient number, that is to say 8089 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 8089 without 8089 itself (that is 1, by definition!).

## Parity of 8089

8089 is an odd number, because it is not evenly divisible by 2.

## Is 8089 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 8089 is about 89.939.

Thus, the square root of 8089 is not an integer, and therefore 8089 is not a square number.

Anyway, 8089 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 8089?

The square of a number (here 8089) is the result of the product of this number (8089) by itself (i.e., 8089 × 8089); the square of 8089 is sometimes called "raising 8089 to the power 2", or "8089 squared".

The square of 8089 is 65 431 921 because 8089 × 8089 = 80892 = 65 431 921.

As a consequence, 8089 is the square root of 65 431 921.

## Number of digits of 8089

8089 is a number with 4 digits.

## What are the multiples of 8089?

The multiples of 8089 are all integers evenly divisible by 8089, that is all numbers such that the remainder of the division by 8089 is zero. There are infinitely many multiples of 8089. The smallest multiples of 8089 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 8089 too, since 0 × 8089 = 0
• 8089: indeed, 8089 is a multiple of itself, since 8089 is evenly divisible by 8089 (we have 8089 / 8089 = 1, so the remainder of this division is indeed zero)
• 16 178: indeed, 16 178 = 8089 × 2
• 24 267: indeed, 24 267 = 8089 × 3
• 32 356: indeed, 32 356 = 8089 × 4
• 40 445: indeed, 40 445 = 8089 × 5
• etc.

## Nearest numbers from 8089

Find out whether some integer is a prime number