Is 137993 a prime number?

137 993 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 137 993 is about 371.474.

Thus, the square root of 137 993 is not an integer, and therefore 137 993 is not a square number.

Anyway, 137 993 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 137 993) is the result of the product of this number (137 993) by itself (i.e., 137 993 × 137 993); the square of 137 993 is sometimes called "raising 137 993 to the power 2", or "137 993 squared".

The square of 137 993 is 19 042 068 049 because 137 993 × 137 993 = 137 993² = 19 042 068 049.

As a consequence, 137 993 is the square root of 19 042 068 049.

137 993 is a number with 6 digits.

The multiples of 137 993 are all integers evenly divisible by 137 993, that is all numbers such that the remainder of the division by 137 993 is zero. There are infinitely many multiples of 137 993. The smallest multiples of 137 993 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 137 993 too, since 0 × 137 993 = 0
• 137 993: indeed, 137 993 is a multiple of itself, since 137 993 is evenly divisible by 137 993 (we have 137 993 / 137 993 = 1, so the remainder of this division is indeed zero)
• 275 986: indeed, 275 986 = 137 993 × 2
• 413 979: indeed, 413 979 = 137 993 × 3
• 551 972: indeed, 551 972 = 137 993 × 4
• 689 965: indeed, 689 965 = 137 993 × 5
• etc.

• Preceding numbers: …137 991, 137 992
• Following numbers: 137 994, 137 995…

Nearest numbers from 137 993

• Preceding prime number: 137 983
• Following prime number: 137 999

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• 137 993 est-il un nombre premier ?