Is 33961 a prime number?

33 961 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 33 961 is about 184.285.

Thus, the square root of 33 961 is not an integer, and therefore 33 961 is not a square number.

Anyway, 33 961 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 33 961) is the result of the product of this number (33 961) by itself (i.e., 33 961 × 33 961); the square of 33 961 is sometimes called "raising 33 961 to the power 2", or "33 961 squared".

The square of 33 961 is 1 153 349 521 because 33 961 × 33 961 = 33 961² = 1 153 349 521.

As a consequence, 33 961 is the square root of 1 153 349 521.

33 961 is a number with 5 digits.

The multiples of 33 961 are all integers evenly divisible by 33 961, that is all numbers such that the remainder of the division by 33 961 is zero. There are infinitely many multiples of 33 961. The smallest multiples of 33 961 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 33 961 too, since 0 × 33 961 = 0
• 33 961: indeed, 33 961 is a multiple of itself, since 33 961 is evenly divisible by 33 961 (we have 33 961 / 33 961 = 1, so the remainder of this division is indeed zero)
• 67 922: indeed, 67 922 = 33 961 × 2
• 101 883: indeed, 101 883 = 33 961 × 3
• 135 844: indeed, 135 844 = 33 961 × 4
• 169 805: indeed, 169 805 = 33 961 × 5
• etc.

• Preceding numbers: …33 959, 33 960
• Following numbers: 33 962, 33 963…

Nearest numbers from 33 961

• Preceding prime number: 33 941
• Following prime number: 33 967

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• 33 961 est-il un nombre premier ?