Is 2029 a prime number?

2 029 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 2 029 is about 45.044.

Thus, the square root of 2 029 is not an integer, and therefore 2 029 is not a square number.

Anyway, 2 029 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 2 029) is the result of the product of this number (2 029) by itself (i.e., 2 029 × 2 029); the square of 2 029 is sometimes called "raising 2 029 to the power 2", or "2 029 squared".

The square of 2 029 is 4 116 841 because 2 029 × 2 029 = 2 029² = 4 116 841.

As a consequence, 2 029 is the square root of 4 116 841.

2 029 is a number with 4 digits.

The multiples of 2 029 are all integers evenly divisible by 2 029, that is all numbers such that the remainder of the division by 2 029 is zero. There are infinitely many multiples of 2 029. The smallest multiples of 2 029 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2 029 too, since 0 × 2 029 = 0
• 2 029: indeed, 2 029 is a multiple of itself, since 2 029 is evenly divisible by 2 029 (we have 2 029 / 2 029 = 1, so the remainder of this division is indeed zero)
• 4 058: indeed, 4 058 = 2 029 × 2
• 6 087: indeed, 6 087 = 2 029 × 3
• 8 116: indeed, 8 116 = 2 029 × 4
• 10 145: indeed, 10 145 = 2 029 × 5
• etc.

• Preceding numbers: …2 027, 2 028
• Following numbers: 2 030, 2 031…

Nearest numbers from 2 029

• Preceding prime number: 2 027
• Following prime number: 2 039

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• 2 029 est-il un nombre premier ?