Is 12967 a prime number?

12 967 is an odd number, because it is not evenly divisible by 2.

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• 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 12 967 is about 113.873.

Thus, the square root of 12 967 is not an integer, and therefore 12 967 is not a square number.

Anyway, 12 967 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 12 967) is the result of the product of this number (12 967) by itself (i.e., 12 967 × 12 967); the square of 12 967 is sometimes called "raising 12 967 to the power 2", or "12 967 squared".

The square of 12 967 is 168 143 089 because 12 967 × 12 967 = 12 967² = 168 143 089.

As a consequence, 12 967 is the square root of 168 143 089.

12 967 is a number with 5 digits.

The multiples of 12 967 are all integers evenly divisible by 12 967, that is all numbers such that the remainder of the division by 12 967 is zero. There are infinitely many multiples of 12 967. The smallest multiples of 12 967 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 12 967 too, since 0 × 12 967 = 0
• 12 967: indeed, 12 967 is a multiple of itself, since 12 967 is evenly divisible by 12 967 (we have 12 967 / 12 967 = 1, so the remainder of this division is indeed zero)
• 25 934: indeed, 25 934 = 12 967 × 2
• 38 901: indeed, 38 901 = 12 967 × 3
• 51 868: indeed, 51 868 = 12 967 × 4
• 64 835: indeed, 64 835 = 12 967 × 5
• etc.

• Preceding numbers: …12 965, 12 966
• Following numbers: 12 968, 12 969…

Nearest numbers from 12 967

• Preceding prime number: 12 959
• Following prime number: 12 973

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• 12 967 est-il un nombre premier ?