Is 2009 a prime number?

2 009 is an odd number, because it is not evenly divisible by 2.

Find out more:

• What is an even 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 2 009 is about 44.822.

Thus, the square root of 2 009 is not an integer, and therefore 2 009 is not a square number.

The square of a number (here 2 009) is the result of the product of this number (2 009) by itself (i.e., 2 009 × 2 009); the square of 2 009 is sometimes called "raising 2 009 to the power 2", or "2 009 squared".

The square of 2 009 is 4 036 081 because 2 009 × 2 009 = 2 009² = 4 036 081.

As a consequence, 2 009 is the square root of 4 036 081.

2 009 is a number with 4 digits.

The multiples of 2 009 are all integers evenly divisible by 2 009, that is all numbers such that the remainder of the division by 2 009 is zero. There are infinitely many multiples of 2 009. The smallest multiples of 2 009 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2 009 too, since 0 × 2 009 = 0
• 2 009: indeed, 2 009 is a multiple of itself, since 2 009 is evenly divisible by 2 009 (we have 2 009 / 2 009 = 1, so the remainder of this division is indeed zero)
• 4 018: indeed, 4 018 = 2 009 × 2
• 6 027: indeed, 6 027 = 2 009 × 3
• 8 036: indeed, 8 036 = 2 009 × 4
• 10 045: indeed, 10 045 = 2 009 × 5
• etc.

• Preceding numbers: …2 007, 2 008
• Following numbers: 2 010, 2 011…

Nearest numbers from 2 009

• Preceding prime number: 2 003
• Following prime number: 2 011

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• 2 009 est-il un nombre premier ?