Is 19013 a prime number?

19 013 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 19 013 is about 137.888.

Thus, the square root of 19 013 is not an integer, and therefore 19 013 is not a square number.

Anyway, 19 013 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 19 013) is the result of the product of this number (19 013) by itself (i.e., 19 013 × 19 013); the square of 19 013 is sometimes called "raising 19 013 to the power 2", or "19 013 squared".

The square of 19 013 is 361 494 169 because 19 013 × 19 013 = 19 013² = 361 494 169.

As a consequence, 19 013 is the square root of 361 494 169.

19 013 is a number with 5 digits.

The multiples of 19 013 are all integers evenly divisible by 19 013, that is all numbers such that the remainder of the division by 19 013 is zero. There are infinitely many multiples of 19 013. The smallest multiples of 19 013 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 19 013 too, since 0 × 19 013 = 0
• 19 013: indeed, 19 013 is a multiple of itself, since 19 013 is evenly divisible by 19 013 (we have 19 013 / 19 013 = 1, so the remainder of this division is indeed zero)
• 38 026: indeed, 38 026 = 19 013 × 2
• 57 039: indeed, 57 039 = 19 013 × 3
• 76 052: indeed, 76 052 = 19 013 × 4
• 95 065: indeed, 95 065 = 19 013 × 5
• etc.

• Preceding numbers: …19 011, 19 012
• Following numbers: 19 014, 19 015…

Nearest numbers from 19 013

• Preceding prime number: 19 009
• Following prime number: 19 031

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• 19 013 est-il un nombre premier ?