Is 82997 a prime number?

82 997 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 82 997 is about 288.092.

Thus, the square root of 82 997 is not an integer, and therefore 82 997 is not a square number.

Anyway, 82 997 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 82 997) is the result of the product of this number (82 997) by itself (i.e., 82 997 × 82 997); the square of 82 997 is sometimes called "raising 82 997 to the power 2", or "82 997 squared".

The square of 82 997 is 6 888 502 009 because 82 997 × 82 997 = 82 997² = 6 888 502 009.

As a consequence, 82 997 is the square root of 6 888 502 009.

82 997 is a number with 5 digits.

The multiples of 82 997 are all integers evenly divisible by 82 997, that is all numbers such that the remainder of the division by 82 997 is zero. There are infinitely many multiples of 82 997. The smallest multiples of 82 997 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 82 997 too, since 0 × 82 997 = 0
• 82 997: indeed, 82 997 is a multiple of itself, since 82 997 is evenly divisible by 82 997 (we have 82 997 / 82 997 = 1, so the remainder of this division is indeed zero)
• 165 994: indeed, 165 994 = 82 997 × 2
• 248 991: indeed, 248 991 = 82 997 × 3
• 331 988: indeed, 331 988 = 82 997 × 4
• 414 985: indeed, 414 985 = 82 997 × 5
• etc.

• Preceding numbers: …82 995, 82 996
• Following numbers: 82 998, 82 999…

Nearest numbers from 82 997

• Preceding prime number: 82 981
• Following prime number: 83 003

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• 82 997 est-il un nombre premier ?