Is 81001 a prime number?

81 001 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 81 001 is about 284.607.

Thus, the square root of 81 001 is not an integer, and therefore 81 001 is not a square number.

Anyway, 81 001 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 81 001) is the result of the product of this number (81 001) by itself (i.e., 81 001 × 81 001); the square of 81 001 is sometimes called "raising 81 001 to the power 2", or "81 001 squared".

The square of 81 001 is 6 561 162 001 because 81 001 × 81 001 = 81 001² = 6 561 162 001.

As a consequence, 81 001 is the square root of 6 561 162 001.

81 001 is a number with 5 digits.

The multiples of 81 001 are all integers evenly divisible by 81 001, that is all numbers such that the remainder of the division by 81 001 is zero. There are infinitely many multiples of 81 001. The smallest multiples of 81 001 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 81 001 too, since 0 × 81 001 = 0
• 81 001: indeed, 81 001 is a multiple of itself, since 81 001 is evenly divisible by 81 001 (we have 81 001 / 81 001 = 1, so the remainder of this division is indeed zero)
• 162 002: indeed, 162 002 = 81 001 × 2
• 243 003: indeed, 243 003 = 81 001 × 3
• 324 004: indeed, 324 004 = 81 001 × 4
• 405 005: indeed, 405 005 = 81 001 × 5
• etc.

• Preceding numbers: …80 999, 81 000
• Following numbers: 81 002, 81 003…

Nearest numbers from 81 001

• Preceding prime number: 80 989
• Following prime number: 81 013

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• 81 001 est-il un nombre premier ?