Is 165001 a prime number?

165 001 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 165 001 is about 406.203.

Thus, the square root of 165 001 is not an integer, and therefore 165 001 is not a square number.

Anyway, 165 001 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 165 001) is the result of the product of this number (165 001) by itself (i.e., 165 001 × 165 001); the square of 165 001 is sometimes called "raising 165 001 to the power 2", or "165 001 squared".

The square of 165 001 is 27 225 330 001 because 165 001 × 165 001 = 165 001² = 27 225 330 001.

As a consequence, 165 001 is the square root of 27 225 330 001.

165 001 is a number with 6 digits.

The multiples of 165 001 are all integers evenly divisible by 165 001, that is all numbers such that the remainder of the division by 165 001 is zero. There are infinitely many multiples of 165 001. The smallest multiples of 165 001 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 165 001 too, since 0 × 165 001 = 0
• 165 001: indeed, 165 001 is a multiple of itself, since 165 001 is evenly divisible by 165 001 (we have 165 001 / 165 001 = 1, so the remainder of this division is indeed zero)
• 330 002: indeed, 330 002 = 165 001 × 2
• 495 003: indeed, 495 003 = 165 001 × 3
• 660 004: indeed, 660 004 = 165 001 × 4
• 825 005: indeed, 825 005 = 165 001 × 5
• etc.

• Preceding numbers: …164 999, 165 000
• Following numbers: 165 002, 165 003…

Nearest numbers from 165 001

• Preceding prime number: 164 999
• Following prime number: 165 037

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• 165 001 est-il un nombre premier ?