Is 38767 a prime number?

38 767 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 38 767 is about 196.893.

Thus, the square root of 38 767 is not an integer, and therefore 38 767 is not a square number.

Anyway, 38 767 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 38 767) is the result of the product of this number (38 767) by itself (i.e., 38 767 × 38 767); the square of 38 767 is sometimes called "raising 38 767 to the power 2", or "38 767 squared".

The square of 38 767 is 1 502 880 289 because 38 767 × 38 767 = 38 767² = 1 502 880 289.

As a consequence, 38 767 is the square root of 1 502 880 289.

38 767 is a number with 5 digits.

The multiples of 38 767 are all integers evenly divisible by 38 767, that is all numbers such that the remainder of the division by 38 767 is zero. There are infinitely many multiples of 38 767. The smallest multiples of 38 767 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 38 767 too, since 0 × 38 767 = 0
• 38 767: indeed, 38 767 is a multiple of itself, since 38 767 is evenly divisible by 38 767 (we have 38 767 / 38 767 = 1, so the remainder of this division is indeed zero)
• 77 534: indeed, 77 534 = 38 767 × 2
• 116 301: indeed, 116 301 = 38 767 × 3
• 155 068: indeed, 155 068 = 38 767 × 4
• 193 835: indeed, 193 835 = 38 767 × 5
• etc.

• Preceding numbers: …38 765, 38 766
• Following numbers: 38 768, 38 769…

Nearest numbers from 38 767

• Preceding prime number: 38 749
• Following prime number: 38 783

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• 38 767 est-il un nombre premier ?