Is 493001 a prime number?

493 001 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 493 001 is about 702.140.

Thus, the square root of 493 001 is not an integer, and therefore 493 001 is not a square number.

Anyway, 493 001 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 493 001) is the result of the product of this number (493 001) by itself (i.e., 493 001 × 493 001); the square of 493 001 is sometimes called "raising 493 001 to the power 2", or "493 001 squared".

The square of 493 001 is 243 049 986 001 because 493 001 × 493 001 = 493 001² = 243 049 986 001.

As a consequence, 493 001 is the square root of 243 049 986 001.

493 001 is a number with 6 digits.

The multiples of 493 001 are all integers evenly divisible by 493 001, that is all numbers such that the remainder of the division by 493 001 is zero. There are infinitely many multiples of 493 001. The smallest multiples of 493 001 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 493 001 too, since 0 × 493 001 = 0
• 493 001: indeed, 493 001 is a multiple of itself, since 493 001 is evenly divisible by 493 001 (we have 493 001 / 493 001 = 1, so the remainder of this division is indeed zero)
• 986 002: indeed, 986 002 = 493 001 × 2
• 1 479 003: indeed, 1 479 003 = 493 001 × 3
• 1 972 004: indeed, 1 972 004 = 493 001 × 4
• 2 465 005: indeed, 2 465 005 = 493 001 × 5
• etc.

• Preceding numbers: …492 999, 493 000
• Following numbers: 493 002, 493 003…

Nearest numbers from 493 001

• Preceding prime number: 492 979
• Following prime number: 493 013

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• 493 001 est-il un nombre premier ?