Is 12007 a prime number?

12 007 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 12 007 is about 109.576.

Thus, the square root of 12 007 is not an integer, and therefore 12 007 is not a square number.

Anyway, 12 007 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 12 007) is the result of the product of this number (12 007) by itself (i.e., 12 007 × 12 007); the square of 12 007 is sometimes called "raising 12 007 to the power 2", or "12 007 squared".

The square of 12 007 is 144 168 049 because 12 007 × 12 007 = 12 007² = 144 168 049.

As a consequence, 12 007 is the square root of 144 168 049.

12 007 is a number with 5 digits.

The multiples of 12 007 are all integers evenly divisible by 12 007, that is all numbers such that the remainder of the division by 12 007 is zero. There are infinitely many multiples of 12 007. The smallest multiples of 12 007 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 12 007 too, since 0 × 12 007 = 0
• 12 007: indeed, 12 007 is a multiple of itself, since 12 007 is evenly divisible by 12 007 (we have 12 007 / 12 007 = 1, so the remainder of this division is indeed zero)
• 24 014: indeed, 24 014 = 12 007 × 2
• 36 021: indeed, 36 021 = 12 007 × 3
• 48 028: indeed, 48 028 = 12 007 × 4
• 60 035: indeed, 60 035 = 12 007 × 5
• etc.

• Preceding numbers: …12 005, 12 006
• Following numbers: 12 008, 12 009…

Nearest numbers from 12 007

• Preceding prime number: 11 987
• Following prime number: 12 011

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• 12 007 est-il un nombre premier ?