Is 461001 a prime number?

461 001 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 461 001 is about 678.971.

Thus, the square root of 461 001 is not an integer, and therefore 461 001 is not a square number.

The square of a number (here 461 001) is the result of the product of this number (461 001) by itself (i.e., 461 001 × 461 001); the square of 461 001 is sometimes called "raising 461 001 to the power 2", or "461 001 squared".

The square of 461 001 is 212 521 922 001 because 461 001 × 461 001 = 461 001² = 212 521 922 001.

As a consequence, 461 001 is the square root of 212 521 922 001.

461 001 is a number with 6 digits.

The multiples of 461 001 are all integers evenly divisible by 461 001, that is all numbers such that the remainder of the division by 461 001 is zero. There are infinitely many multiples of 461 001. The smallest multiples of 461 001 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 461 001 too, since 0 × 461 001 = 0
• 461 001: indeed, 461 001 is a multiple of itself, since 461 001 is evenly divisible by 461 001 (we have 461 001 / 461 001 = 1, so the remainder of this division is indeed zero)
• 922 002: indeed, 922 002 = 461 001 × 2
• 1 383 003: indeed, 1 383 003 = 461 001 × 3
• 1 844 004: indeed, 1 844 004 = 461 001 × 4
• 2 305 005: indeed, 2 305 005 = 461 001 × 5
• etc.

• Preceding numbers: …460 999, 461 000
• Following numbers: 461 002, 461 003…

Nearest numbers from 461 001

• Preceding prime number: 460 991
• Following prime number: 461 009

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• 461 001 est-il un nombre premier ?