Is 42197 a prime number?

42 197 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 42 197 is about 205.419.

Thus, the square root of 42 197 is not an integer, and therefore 42 197 is not a square number.

Anyway, 42 197 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 42 197) is the result of the product of this number (42 197) by itself (i.e., 42 197 × 42 197); the square of 42 197 is sometimes called "raising 42 197 to the power 2", or "42 197 squared".

The square of 42 197 is 1 780 586 809 because 42 197 × 42 197 = 42 197² = 1 780 586 809.

As a consequence, 42 197 is the square root of 1 780 586 809.

42 197 is a number with 5 digits.

The multiples of 42 197 are all integers evenly divisible by 42 197, that is all numbers such that the remainder of the division by 42 197 is zero. There are infinitely many multiples of 42 197. The smallest multiples of 42 197 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 42 197 too, since 0 × 42 197 = 0
• 42 197: indeed, 42 197 is a multiple of itself, since 42 197 is evenly divisible by 42 197 (we have 42 197 / 42 197 = 1, so the remainder of this division is indeed zero)
• 84 394: indeed, 84 394 = 42 197 × 2
• 126 591: indeed, 126 591 = 42 197 × 3
• 168 788: indeed, 168 788 = 42 197 × 4
• 210 985: indeed, 210 985 = 42 197 × 5
• etc.

• Preceding numbers: …42 195, 42 196
• Following numbers: 42 198, 42 199…

Nearest numbers from 42 197

• Preceding prime number: 42 193
• Following prime number: 42 209

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• 42 197 est-il un nombre premier ?