Is 997001 a prime number?

997 001 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 997 001 is about 998.499.

Thus, the square root of 997 001 is not an integer, and therefore 997 001 is not a square number.

Anyway, 997 001 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 997 001) is the result of the product of this number (997 001) by itself (i.e., 997 001 × 997 001); the square of 997 001 is sometimes called "raising 997 001 to the power 2", or "997 001 squared".

The square of 997 001 is 994 010 994 001 because 997 001 × 997 001 = 997 001² = 994 010 994 001.

As a consequence, 997 001 is the square root of 994 010 994 001.

997 001 is a number with 6 digits.

The multiples of 997 001 are all integers evenly divisible by 997 001, that is all numbers such that the remainder of the division by 997 001 is zero. There are infinitely many multiples of 997 001. The smallest multiples of 997 001 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 997 001 too, since 0 × 997 001 = 0
• 997 001: indeed, 997 001 is a multiple of itself, since 997 001 is evenly divisible by 997 001 (we have 997 001 / 997 001 = 1, so the remainder of this division is indeed zero)
• 1 994 002: indeed, 1 994 002 = 997 001 × 2
• 2 991 003: indeed, 2 991 003 = 997 001 × 3
• 3 988 004: indeed, 3 988 004 = 997 001 × 4
• 4 985 005: indeed, 4 985 005 = 997 001 × 5
• etc.

• Preceding numbers: …996 999, 997 000
• Following numbers: 997 002, 997 003…

Nearest numbers from 997 001

• Preceding prime number: 996 979
• Following prime number: 997 013

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• 997 001 est-il un nombre premier ?