Is 33023 a prime number?

33 023 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 33 023 is about 181.722.

Thus, the square root of 33 023 is not an integer, and therefore 33 023 is not a square number.

Anyway, 33 023 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 33 023) is the result of the product of this number (33 023) by itself (i.e., 33 023 × 33 023); the square of 33 023 is sometimes called "raising 33 023 to the power 2", or "33 023 squared".

The square of 33 023 is 1 090 518 529 because 33 023 × 33 023 = 33 023² = 1 090 518 529.

As a consequence, 33 023 is the square root of 1 090 518 529.

33 023 is a number with 5 digits.

The multiples of 33 023 are all integers evenly divisible by 33 023, that is all numbers such that the remainder of the division by 33 023 is zero. There are infinitely many multiples of 33 023. The smallest multiples of 33 023 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 33 023 too, since 0 × 33 023 = 0
• 33 023: indeed, 33 023 is a multiple of itself, since 33 023 is evenly divisible by 33 023 (we have 33 023 / 33 023 = 1, so the remainder of this division is indeed zero)
• 66 046: indeed, 66 046 = 33 023 × 2
• 99 069: indeed, 99 069 = 33 023 × 3
• 132 092: indeed, 132 092 = 33 023 × 4
• 165 115: indeed, 165 115 = 33 023 × 5
• etc.

• Preceding numbers: …33 021, 33 022
• Following numbers: 33 024, 33 025…

Nearest numbers from 33 023

• Preceding prime number: 33 013
• Following prime number: 33 029

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• 33 023 est-il un nombre premier ?