Is 2019 a prime number?

2 019 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 2 019 is about 44.933.

Thus, the square root of 2 019 is not an integer, and therefore 2 019 is not a square number.

The square of a number (here 2 019) is the result of the product of this number (2 019) by itself (i.e., 2 019 × 2 019); the square of 2 019 is sometimes called "raising 2 019 to the power 2", or "2 019 squared".

The square of 2 019 is 4 076 361 because 2 019 × 2 019 = 2 019² = 4 076 361.

As a consequence, 2 019 is the square root of 4 076 361.

2 019 is a number with 4 digits.

The multiples of 2 019 are all integers evenly divisible by 2 019, that is all numbers such that the remainder of the division by 2 019 is zero. There are infinitely many multiples of 2 019. The smallest multiples of 2 019 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2 019 too, since 0 × 2 019 = 0
• 2 019: indeed, 2 019 is a multiple of itself, since 2 019 is evenly divisible by 2 019 (we have 2 019 / 2 019 = 1, so the remainder of this division is indeed zero)
• 4 038: indeed, 4 038 = 2 019 × 2
• 6 057: indeed, 6 057 = 2 019 × 3
• 8 076: indeed, 8 076 = 2 019 × 4
• 10 095: indeed, 10 095 = 2 019 × 5
• etc.

• Preceding numbers: …2 017, 2 018
• Following numbers: 2 020, 2 021…

Nearest numbers from 2 019

• Preceding prime number: 2 017
• Following prime number: 2 027

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• 2 019 est-il un nombre premier ?