Is 3967 a prime number?

3 967 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 3 967 is about 62.984.

Thus, the square root of 3 967 is not an integer, and therefore 3 967 is not a square number.

Anyway, 3 967 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 3 967) is the result of the product of this number (3 967) by itself (i.e., 3 967 × 3 967); the square of 3 967 is sometimes called "raising 3 967 to the power 2", or "3 967 squared".

The square of 3 967 is 15 737 089 because 3 967 × 3 967 = 3 967² = 15 737 089.

As a consequence, 3 967 is the square root of 15 737 089.

3 967 is a number with 4 digits.

The multiples of 3 967 are all integers evenly divisible by 3 967, that is all numbers such that the remainder of the division by 3 967 is zero. There are infinitely many multiples of 3 967. The smallest multiples of 3 967 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3 967 too, since 0 × 3 967 = 0
• 3 967: indeed, 3 967 is a multiple of itself, since 3 967 is evenly divisible by 3 967 (we have 3 967 / 3 967 = 1, so the remainder of this division is indeed zero)
• 7 934: indeed, 7 934 = 3 967 × 2
• 11 901: indeed, 11 901 = 3 967 × 3
• 15 868: indeed, 15 868 = 3 967 × 4
• 19 835: indeed, 19 835 = 3 967 × 5
• etc.

• Preceding numbers: …3 965, 3 966
• Following numbers: 3 968, 3 969…

Nearest numbers from 3 967

• Preceding prime number: 3 947
• Following prime number: 3 989

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• 3 967 est-il un nombre premier ?