Is 33001 a prime number?

33 001 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 33 001 is about 181.662.

Thus, the square root of 33 001 is not an integer, and therefore 33 001 is not a square number.

The square of a number (here 33 001) is the result of the product of this number (33 001) by itself (i.e., 33 001 × 33 001); the square of 33 001 is sometimes called "raising 33 001 to the power 2", or "33 001 squared".

The square of 33 001 is 1 089 066 001 because 33 001 × 33 001 = 33 001² = 1 089 066 001.

As a consequence, 33 001 is the square root of 1 089 066 001.

33 001 is a number with 5 digits.

The multiples of 33 001 are all integers evenly divisible by 33 001, that is all numbers such that the remainder of the division by 33 001 is zero. There are infinitely many multiples of 33 001. The smallest multiples of 33 001 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 33 001 too, since 0 × 33 001 = 0
• 33 001: indeed, 33 001 is a multiple of itself, since 33 001 is evenly divisible by 33 001 (we have 33 001 / 33 001 = 1, so the remainder of this division is indeed zero)
• 66 002: indeed, 66 002 = 33 001 × 2
• 99 003: indeed, 99 003 = 33 001 × 3
• 132 004: indeed, 132 004 = 33 001 × 4
• 165 005: indeed, 165 005 = 33 001 × 5
• etc.

• Preceding numbers: …32 999, 33 000
• Following numbers: 33 002, 33 003…

Nearest numbers from 33 001

• Preceding prime number: 32 999
• Following prime number: 33 013

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• 33 001 est-il un nombre premier ?