Is 33013 a prime number?

33 013 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 33 013 is about 181.695.

Thus, the square root of 33 013 is not an integer, and therefore 33 013 is not a square number.

Anyway, 33 013 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 33 013) is the result of the product of this number (33 013) by itself (i.e., 33 013 × 33 013); the square of 33 013 is sometimes called "raising 33 013 to the power 2", or "33 013 squared".

The square of 33 013 is 1 089 858 169 because 33 013 × 33 013 = 33 013² = 1 089 858 169.

As a consequence, 33 013 is the square root of 1 089 858 169.

33 013 is a number with 5 digits.

The multiples of 33 013 are all integers evenly divisible by 33 013, that is all numbers such that the remainder of the division by 33 013 is zero. There are infinitely many multiples of 33 013. The smallest multiples of 33 013 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 33 013 too, since 0 × 33 013 = 0
• 33 013: indeed, 33 013 is a multiple of itself, since 33 013 is evenly divisible by 33 013 (we have 33 013 / 33 013 = 1, so the remainder of this division is indeed zero)
• 66 026: indeed, 66 026 = 33 013 × 2
• 99 039: indeed, 99 039 = 33 013 × 3
• 132 052: indeed, 132 052 = 33 013 × 4
• 165 065: indeed, 165 065 = 33 013 × 5
• etc.

• Preceding numbers: …33 011, 33 012
• Following numbers: 33 014, 33 015…

Nearest numbers from 33 013

• Preceding prime number: 32 999
• Following prime number: 33 023

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• 33 013 est-il un nombre premier ?