Is 8009 a prime number?

8 009 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 8 009 is about 89.493.

Thus, the square root of 8 009 is not an integer, and therefore 8 009 is not a square number.

Anyway, 8 009 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 8 009) is the result of the product of this number (8 009) by itself (i.e., 8 009 × 8 009); the square of 8 009 is sometimes called "raising 8 009 to the power 2", or "8 009 squared".

The square of 8 009 is 64 144 081 because 8 009 × 8 009 = 8 009² = 64 144 081.

As a consequence, 8 009 is the square root of 64 144 081.

8 009 is a number with 4 digits.

The multiples of 8 009 are all integers evenly divisible by 8 009, that is all numbers such that the remainder of the division by 8 009 is zero. There are infinitely many multiples of 8 009. The smallest multiples of 8 009 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 8 009 too, since 0 × 8 009 = 0
• 8 009: indeed, 8 009 is a multiple of itself, since 8 009 is evenly divisible by 8 009 (we have 8 009 / 8 009 = 1, so the remainder of this division is indeed zero)
• 16 018: indeed, 16 018 = 8 009 × 2
• 24 027: indeed, 24 027 = 8 009 × 3
• 32 036: indeed, 32 036 = 8 009 × 4
• 40 045: indeed, 40 045 = 8 009 × 5
• etc.

• Preceding numbers: …8 007, 8 008
• Following numbers: 8 010, 8 011…

Nearest numbers from 8 009

• Preceding prime number: 7 993
• Following prime number: 8 011

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• 8 009 est-il un nombre premier ?