Is 2017 a prime number?

2 017 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 2 017 is about 44.911.

Thus, the square root of 2 017 is not an integer, and therefore 2 017 is not a square number.

Anyway, 2 017 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 2 017) is the result of the product of this number (2 017) by itself (i.e., 2 017 × 2 017); the square of 2 017 is sometimes called "raising 2 017 to the power 2", or "2 017 squared".

The square of 2 017 is 4 068 289 because 2 017 × 2 017 = 2 017² = 4 068 289.

As a consequence, 2 017 is the square root of 4 068 289.

2 017 is a number with 4 digits.

The multiples of 2 017 are all integers evenly divisible by 2 017, that is all numbers such that the remainder of the division by 2 017 is zero. There are infinitely many multiples of 2 017. The smallest multiples of 2 017 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2 017 too, since 0 × 2 017 = 0
• 2 017: indeed, 2 017 is a multiple of itself, since 2 017 is evenly divisible by 2 017 (we have 2 017 / 2 017 = 1, so the remainder of this division is indeed zero)
• 4 034: indeed, 4 034 = 2 017 × 2
• 6 051: indeed, 6 051 = 2 017 × 3
• 8 068: indeed, 8 068 = 2 017 × 4
• 10 085: indeed, 10 085 = 2 017 × 5
• etc.

• Preceding numbers: …2 015, 2 016
• Following numbers: 2 018, 2 019…

Nearest numbers from 2 017

• Preceding prime number: 2 011
• Following prime number: 2 027

• Is 0 a prime number?
• Is 1 a prime number?
• Is 2 a prime number?
• Is 2024 a prime number?
• Is 2025 a prime number?
• Is 4884 a prime number?

• Five thousand prime numbers

• Contact

• 2 017 est-il un nombre premier ?