Is 112967 a prime number?

112 967 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 112 967 is about 336.106.

Thus, the square root of 112 967 is not an integer, and therefore 112 967 is not a square number.

Anyway, 112 967 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 112 967) is the result of the product of this number (112 967) by itself (i.e., 112 967 × 112 967); the square of 112 967 is sometimes called "raising 112 967 to the power 2", or "112 967 squared".

The square of 112 967 is 12 761 543 089 because 112 967 × 112 967 = 112 967² = 12 761 543 089.

As a consequence, 112 967 is the square root of 12 761 543 089.

112 967 is a number with 6 digits.

The multiples of 112 967 are all integers evenly divisible by 112 967, that is all numbers such that the remainder of the division by 112 967 is zero. There are infinitely many multiples of 112 967. The smallest multiples of 112 967 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 112 967 too, since 0 × 112 967 = 0
• 112 967: indeed, 112 967 is a multiple of itself, since 112 967 is evenly divisible by 112 967 (we have 112 967 / 112 967 = 1, so the remainder of this division is indeed zero)
• 225 934: indeed, 225 934 = 112 967 × 2
• 338 901: indeed, 338 901 = 112 967 × 3
• 451 868: indeed, 451 868 = 112 967 × 4
• 564 835: indeed, 564 835 = 112 967 × 5
• etc.

• Preceding numbers: …112 965, 112 966
• Following numbers: 112 968, 112 969…

Nearest numbers from 112 967

• Preceding prime number: 112 951
• Following prime number: 112 979

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• 112 967 est-il un nombre premier ?