Is 8009 a prime number? What are the divisors of 8009?

## Is 8009 a prime number?

Yes, 8009 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 8009, the only two divisors are 1 and 8009. Therefore 8009 is a prime number.

As a consequence, 8009 is only a multiple of 1 and 8009.

Since 8009 is a prime number, 8009 is also a deficient number, that is to say 8009 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 8009 without 8009 itself (that is 1, by definition!).

## Parity of 8009

8009 is an odd number, because it is not evenly divisible by 2.

## Is 8009 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 8009 is about 89.493.

Thus, the square root of 8009 is not an integer, and therefore 8009 is not a square number.

Anyway, 8009 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 8009?

The square of a number (here 8009) is the result of the product of this number (8009) by itself (i.e., 8009 × 8009); the square of 8009 is sometimes called "raising 8009 to the power 2", or "8009 squared".

The square of 8009 is 64 144 081 because 8009 × 8009 = 80092 = 64 144 081.

As a consequence, 8009 is the square root of 64 144 081.

## Number of digits of 8009

8009 is a number with 4 digits.

## What are the multiples of 8009?

The multiples of 8009 are all integers evenly divisible by 8009, that is all numbers such that the remainder of the division by 8009 is zero. There are infinitely many multiples of 8009. The smallest multiples of 8009 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 8009 too, since 0 × 8009 = 0
• 8009: indeed, 8009 is a multiple of itself, since 8009 is evenly divisible by 8009 (we have 8009 / 8009 = 1, so the remainder of this division is indeed zero)
• 16 018: indeed, 16 018 = 8009 × 2
• 24 027: indeed, 24 027 = 8009 × 3
• 32 036: indeed, 32 036 = 8009 × 4
• 40 045: indeed, 40 045 = 8009 × 5
• etc.

## Nearest numbers from 8009

Find out whether some integer is a prime number