Is 58013 a prime number?

58 013 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 58 013 is about 240.859.

Thus, the square root of 58 013 is not an integer, and therefore 58 013 is not a square number.

Anyway, 58 013 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 58 013) is the result of the product of this number (58 013) by itself (i.e., 58 013 × 58 013); the square of 58 013 is sometimes called "raising 58 013 to the power 2", or "58 013 squared".

The square of 58 013 is 3 365 508 169 because 58 013 × 58 013 = 58 013² = 3 365 508 169.

As a consequence, 58 013 is the square root of 3 365 508 169.

58 013 is a number with 5 digits.

The multiples of 58 013 are all integers evenly divisible by 58 013, that is all numbers such that the remainder of the division by 58 013 is zero. There are infinitely many multiples of 58 013. The smallest multiples of 58 013 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 58 013 too, since 0 × 58 013 = 0
• 58 013: indeed, 58 013 is a multiple of itself, since 58 013 is evenly divisible by 58 013 (we have 58 013 / 58 013 = 1, so the remainder of this division is indeed zero)
• 116 026: indeed, 116 026 = 58 013 × 2
• 174 039: indeed, 174 039 = 58 013 × 3
• 232 052: indeed, 232 052 = 58 013 × 4
• 290 065: indeed, 290 065 = 58 013 × 5
• etc.

• Preceding numbers: …58 011, 58 012
• Following numbers: 58 014, 58 015…

Nearest numbers from 58 013

• Preceding prime number: 57 991
• Following prime number: 58 027

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• 58 013 est-il un nombre premier ?