Is 1033 a prime number?

1 033 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 1 033 is about 32.140.

Thus, the square root of 1 033 is not an integer, and therefore 1 033 is not a square number.

Anyway, 1 033 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 1 033) is the result of the product of this number (1 033) by itself (i.e., 1 033 × 1 033); the square of 1 033 is sometimes called "raising 1 033 to the power 2", or "1 033 squared".

The square of 1 033 is 1 067 089 because 1 033 × 1 033 = 1 033² = 1 067 089.

As a consequence, 1 033 is the square root of 1 067 089.

1 033 is a number with 4 digits.

The multiples of 1 033 are all integers evenly divisible by 1 033, that is all numbers such that the remainder of the division by 1 033 is zero. There are infinitely many multiples of 1 033. The smallest multiples of 1 033 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1 033 too, since 0 × 1 033 = 0
• 1 033: indeed, 1 033 is a multiple of itself, since 1 033 is evenly divisible by 1 033 (we have 1 033 / 1 033 = 1, so the remainder of this division is indeed zero)
• 2 066: indeed, 2 066 = 1 033 × 2
• 3 099: indeed, 3 099 = 1 033 × 3
• 4 132: indeed, 4 132 = 1 033 × 4
• 5 165: indeed, 5 165 = 1 033 × 5
• etc.

• Preceding numbers: …1 031, 1 032
• Following numbers: 1 034, 1 035…

Nearest numbers from 1 033

• Preceding prime number: 1 031
• Following prime number: 1 039

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• 1 033 est-il un nombre premier ?