Is 32767 a prime number?

32 767 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 32 767 is about 181.017.

Thus, the square root of 32 767 is not an integer, and therefore 32 767 is not a square number.

The square of a number (here 32 767) is the result of the product of this number (32 767) by itself (i.e., 32 767 × 32 767); the square of 32 767 is sometimes called "raising 32 767 to the power 2", or "32 767 squared".

The square of 32 767 is 1 073 676 289 because 32 767 × 32 767 = 32 767² = 1 073 676 289.

As a consequence, 32 767 is the square root of 1 073 676 289.

32 767 is a number with 5 digits.

The multiples of 32 767 are all integers evenly divisible by 32 767, that is all numbers such that the remainder of the division by 32 767 is zero. There are infinitely many multiples of 32 767. The smallest multiples of 32 767 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 32 767 too, since 0 × 32 767 = 0
• 32 767: indeed, 32 767 is a multiple of itself, since 32 767 is evenly divisible by 32 767 (we have 32 767 / 32 767 = 1, so the remainder of this division is indeed zero)
• 65 534: indeed, 65 534 = 32 767 × 2
• 98 301: indeed, 98 301 = 32 767 × 3
• 131 068: indeed, 131 068 = 32 767 × 4
• 163 835: indeed, 163 835 = 32 767 × 5
• etc.

• Preceding numbers: …32 765, 32 766
• Following numbers: 32 768, 32 769…

Nearest numbers from 32 767

• Preceding prime number: 32 749
• Following prime number: 32 771

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• 32 767 est-il un nombre premier ?