Is 19997 a prime number?

19 997 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 19 997 is about 141.411.

Thus, the square root of 19 997 is not an integer, and therefore 19 997 is not a square number.

Anyway, 19 997 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 19 997) is the result of the product of this number (19 997) by itself (i.e., 19 997 × 19 997); the square of 19 997 is sometimes called "raising 19 997 to the power 2", or "19 997 squared".

The square of 19 997 is 399 880 009 because 19 997 × 19 997 = 19 997² = 399 880 009.

As a consequence, 19 997 is the square root of 399 880 009.

19 997 is a number with 5 digits.

The multiples of 19 997 are all integers evenly divisible by 19 997, that is all numbers such that the remainder of the division by 19 997 is zero. There are infinitely many multiples of 19 997. The smallest multiples of 19 997 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 19 997 too, since 0 × 19 997 = 0
• 19 997: indeed, 19 997 is a multiple of itself, since 19 997 is evenly divisible by 19 997 (we have 19 997 / 19 997 = 1, so the remainder of this division is indeed zero)
• 39 994: indeed, 39 994 = 19 997 × 2
• 59 991: indeed, 59 991 = 19 997 × 3
• 79 988: indeed, 79 988 = 19 997 × 4
• 99 985: indeed, 99 985 = 19 997 × 5
• etc.

• Preceding numbers: …19 995, 19 996
• Following numbers: 19 998, 19 999…

Nearest numbers from 19 997

• Preceding prime number: 19 993
• Following prime number: 20 011

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• 19 997 est-il un nombre premier ?