Is 4967 a prime number?

4 967 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 4 967 is about 70.477.

Thus, the square root of 4 967 is not an integer, and therefore 4 967 is not a square number.

Anyway, 4 967 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 4 967) is the result of the product of this number (4 967) by itself (i.e., 4 967 × 4 967); the square of 4 967 is sometimes called "raising 4 967 to the power 2", or "4 967 squared".

The square of 4 967 is 24 671 089 because 4 967 × 4 967 = 4 967² = 24 671 089.

As a consequence, 4 967 is the square root of 24 671 089.

4 967 is a number with 4 digits.

The multiples of 4 967 are all integers evenly divisible by 4 967, that is all numbers such that the remainder of the division by 4 967 is zero. There are infinitely many multiples of 4 967. The smallest multiples of 4 967 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4 967 too, since 0 × 4 967 = 0
• 4 967: indeed, 4 967 is a multiple of itself, since 4 967 is evenly divisible by 4 967 (we have 4 967 / 4 967 = 1, so the remainder of this division is indeed zero)
• 9 934: indeed, 9 934 = 4 967 × 2
• 14 901: indeed, 14 901 = 4 967 × 3
• 19 868: indeed, 19 868 = 4 967 × 4
• 24 835: indeed, 24 835 = 4 967 × 5
• etc.

• Preceding numbers: …4 965, 4 966
• Following numbers: 4 968, 4 969…

Nearest numbers from 4 967

• Preceding prime number: 4 957
• Following prime number: 4 969

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• 4 967 est-il un nombre premier ?