Is 5009 a prime number? What are the divisors of 5009?

## Is 5009 a prime number?

Yes, 5009 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 5009, the only two divisors are 1 and 5009. Therefore 5009 is a prime number.

As a consequence, 5009 is only a multiple of 1 and 5009.

Since 5009 is a prime number, 5009 is also a deficient number, that is to say 5009 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 5009 without 5009 itself (that is 1, by definition!).

## Parity of 5009

5009 is an odd number, because it is not evenly divisible by 2.

## Is 5009 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 5009 is about 70.774.

Thus, the square root of 5009 is not an integer, and therefore 5009 is not a square number.

Anyway, 5009 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 5009?

The square of a number (here 5009) is the result of the product of this number (5009) by itself (i.e., 5009 × 5009); the square of 5009 is sometimes called "raising 5009 to the power 2", or "5009 squared".

The square of 5009 is 25 090 081 because 5009 × 5009 = 50092 = 25 090 081.

As a consequence, 5009 is the square root of 25 090 081.

## Number of digits of 5009

5009 is a number with 4 digits.

## What are the multiples of 5009?

The multiples of 5009 are all integers evenly divisible by 5009, that is all numbers such that the remainder of the division by 5009 is zero. There are infinitely many multiples of 5009. The smallest multiples of 5009 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 5009 too, since 0 × 5009 = 0
• 5009: indeed, 5009 is a multiple of itself, since 5009 is evenly divisible by 5009 (we have 5009 / 5009 = 1, so the remainder of this division is indeed zero)
• 10 018: indeed, 10 018 = 5009 × 2
• 15 027: indeed, 15 027 = 5009 × 3
• 20 036: indeed, 20 036 = 5009 × 4
• 25 045: indeed, 25 045 = 5009 × 5
• etc.

## Nearest numbers from 5009

Find out whether some integer is a prime number