Is 123601 a prime number?

123 601 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 123 601 is about 351.569.

Thus, the square root of 123 601 is not an integer, and therefore 123 601 is not a square number.

Anyway, 123 601 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 123 601) is the result of the product of this number (123 601) by itself (i.e., 123 601 × 123 601); the square of 123 601 is sometimes called "raising 123 601 to the power 2", or "123 601 squared".

The square of 123 601 is 15 277 207 201 because 123 601 × 123 601 = 123 601² = 15 277 207 201.

As a consequence, 123 601 is the square root of 15 277 207 201.

123 601 is a number with 6 digits.

The multiples of 123 601 are all integers evenly divisible by 123 601, that is all numbers such that the remainder of the division by 123 601 is zero. There are infinitely many multiples of 123 601. The smallest multiples of 123 601 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 123 601 too, since 0 × 123 601 = 0
• 123 601: indeed, 123 601 is a multiple of itself, since 123 601 is evenly divisible by 123 601 (we have 123 601 / 123 601 = 1, so the remainder of this division is indeed zero)
• 247 202: indeed, 247 202 = 123 601 × 2
• 370 803: indeed, 370 803 = 123 601 × 3
• 494 404: indeed, 494 404 = 123 601 × 4
• 618 005: indeed, 618 005 = 123 601 × 5
• etc.

• Preceding numbers: …123 599, 123 600
• Following numbers: 123 602, 123 603…

Nearest numbers from 123 601

• Preceding prime number: 123 593
• Following prime number: 123 619

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• 123 601 est-il un nombre premier ?