Is 2009 a prime number? What are the divisors of 2009?

## Is 2009 a prime number?

No, 2009 is not a prime number.

For example, 2009 can be divided by 7: 2009 / 7 = 287.

To be 2009 a prime number, it would have been required that 2009 has only two divisors, i.e., itself and 1.

## Parity of 2009

2009 is an odd number, because it is not evenly divisible by 2.

## Is 2009 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 2009 is about 44.822.

Thus, the square root of 2009 is not an integer, and therefore 2009 is not a square number.

## What is the square number of 2009?

The square of a number (here 2009) is the result of the product of this number (2009) by itself (i.e., 2009 × 2009); the square of 2009 is sometimes called "raising 2009 to the power 2", or "2009 squared".

The square of 2009 is 4 036 081 because 2009 × 2009 = 20092 = 4 036 081.

As a consequence, 2009 is the square root of 4 036 081.

## Number of digits of 2009

2009 is a number with 4 digits.

## What are the multiples of 2009?

The multiples of 2009 are all integers evenly divisible by 2009, that is all numbers such that the remainder of the division by 2009 is zero. There are infinitely many multiples of 2009. The smallest multiples of 2009 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2009 too, since 0 × 2009 = 0
• 2009: indeed, 2009 is a multiple of itself, since 2009 is evenly divisible by 2009 (we have 2009 / 2009 = 1, so the remainder of this division is indeed zero)
• 4 018: indeed, 4 018 = 2009 × 2
• 6 027: indeed, 6 027 = 2009 × 3
• 8 036: indeed, 8 036 = 2009 × 4
• 10 045: indeed, 10 045 = 2009 × 5
• etc.

## Nearest numbers from 2009

Find out whether some integer is a prime number