Is 172001 a prime number?

172 001 is an odd number, because it is not evenly divisible by 2.

Find out more:

• 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 172 001 is about 414.730.

Thus, the square root of 172 001 is not an integer, and therefore 172 001 is not a square number.

Anyway, 172 001 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 172 001) is the result of the product of this number (172 001) by itself (i.e., 172 001 × 172 001); the square of 172 001 is sometimes called "raising 172 001 to the power 2", or "172 001 squared".

The square of 172 001 is 29 584 344 001 because 172 001 × 172 001 = 172 001² = 29 584 344 001.

As a consequence, 172 001 is the square root of 29 584 344 001.

172 001 is a number with 6 digits.

The multiples of 172 001 are all integers evenly divisible by 172 001, that is all numbers such that the remainder of the division by 172 001 is zero. There are infinitely many multiples of 172 001. The smallest multiples of 172 001 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 172 001 too, since 0 × 172 001 = 0
• 172 001: indeed, 172 001 is a multiple of itself, since 172 001 is evenly divisible by 172 001 (we have 172 001 / 172 001 = 1, so the remainder of this division is indeed zero)
• 344 002: indeed, 344 002 = 172 001 × 2
• 516 003: indeed, 516 003 = 172 001 × 3
• 688 004: indeed, 688 004 = 172 001 × 4
• 860 005: indeed, 860 005 = 172 001 × 5
• etc.

• Preceding numbers: …171 999, 172 000
• Following numbers: 172 002, 172 003…

Nearest numbers from 172 001

• Preceding prime number: 171 947
• Following prime number: 172 009

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• 172 001 est-il un nombre premier ?