Is 13009 a prime number?

13 009 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 13 009 is about 114.057.

Thus, the square root of 13 009 is not an integer, and therefore 13 009 is not a square number.

Anyway, 13 009 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 13 009) is the result of the product of this number (13 009) by itself (i.e., 13 009 × 13 009); the square of 13 009 is sometimes called "raising 13 009 to the power 2", or "13 009 squared".

The square of 13 009 is 169 234 081 because 13 009 × 13 009 = 13 009² = 169 234 081.

As a consequence, 13 009 is the square root of 169 234 081.

13 009 is a number with 5 digits.

The multiples of 13 009 are all integers evenly divisible by 13 009, that is all numbers such that the remainder of the division by 13 009 is zero. There are infinitely many multiples of 13 009. The smallest multiples of 13 009 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 13 009 too, since 0 × 13 009 = 0
• 13 009: indeed, 13 009 is a multiple of itself, since 13 009 is evenly divisible by 13 009 (we have 13 009 / 13 009 = 1, so the remainder of this division is indeed zero)
• 26 018: indeed, 26 018 = 13 009 × 2
• 39 027: indeed, 39 027 = 13 009 × 3
• 52 036: indeed, 52 036 = 13 009 × 4
• 65 045: indeed, 65 045 = 13 009 × 5
• etc.

• Preceding numbers: …13 007, 13 008
• Following numbers: 13 010, 13 011…

Nearest numbers from 13 009

• Preceding prime number: 13 007
• Following prime number: 13 033

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• 13 009 est-il un nombre premier ?