Is 1723 a prime number?

1 723 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 1 723 is about 41.509.

Thus, the square root of 1 723 is not an integer, and therefore 1 723 is not a square number.

Anyway, 1 723 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 1 723) is the result of the product of this number (1 723) by itself (i.e., 1 723 × 1 723); the square of 1 723 is sometimes called "raising 1 723 to the power 2", or "1 723 squared".

The square of 1 723 is 2 968 729 because 1 723 × 1 723 = 1 723² = 2 968 729.

As a consequence, 1 723 is the square root of 2 968 729.

1 723 is a number with 4 digits.

The multiples of 1 723 are all integers evenly divisible by 1 723, that is all numbers such that the remainder of the division by 1 723 is zero. There are infinitely many multiples of 1 723. The smallest multiples of 1 723 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1 723 too, since 0 × 1 723 = 0
• 1 723: indeed, 1 723 is a multiple of itself, since 1 723 is evenly divisible by 1 723 (we have 1 723 / 1 723 = 1, so the remainder of this division is indeed zero)
• 3 446: indeed, 3 446 = 1 723 × 2
• 5 169: indeed, 5 169 = 1 723 × 3
• 6 892: indeed, 6 892 = 1 723 × 4
• 8 615: indeed, 8 615 = 1 723 × 5
• etc.

• Preceding numbers: …1 721, 1 722
• Following numbers: 1 724, 1 725…

Nearest numbers from 1 723

• Preceding prime number: 1 721
• Following prime number: 1 733

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• 1 723 est-il un nombre premier ?