Is 32768 a prime number?

32 768 is an even number, because it is evenly divisible by 2: 32 768 / 2 = 16 384.

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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 32 768 is about 181.019.

Thus, the square root of 32 768 is not an integer, and therefore 32 768 is not a square number.

The square of a number (here 32 768) is the result of the product of this number (32 768) by itself (i.e., 32 768 × 32 768); the square of 32 768 is sometimes called "raising 32 768 to the power 2", or "32 768 squared".

The square of 32 768 is 1 073 741 824 because 32 768 × 32 768 = 32 768² = 1 073 741 824.

As a consequence, 32 768 is the square root of 1 073 741 824.

32 768 is a number with 5 digits.

The multiples of 32 768 are all integers evenly divisible by 32 768, that is all numbers such that the remainder of the division by 32 768 is zero. There are infinitely many multiples of 32 768. The smallest multiples of 32 768 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 32 768 too, since 0 × 32 768 = 0
• 32 768: indeed, 32 768 is a multiple of itself, since 32 768 is evenly divisible by 32 768 (we have 32 768 / 32 768 = 1, so the remainder of this division is indeed zero)
• 65 536: indeed, 65 536 = 32 768 × 2
• 98 304: indeed, 98 304 = 32 768 × 3
• 131 072: indeed, 131 072 = 32 768 × 4
• 163 840: indeed, 163 840 = 32 768 × 5
• etc.

• Preceding numbers: …32 766, 32 767
• Following numbers: 32 769, 32 770…

Nearest numbers from 32 768

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

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• 32 768 est-il un nombre premier ?