Is 2013 a prime number? What are the divisors of 2013?

## Is 2013 a prime number?

No, 2013 is not a prime number.

For example, 2013 can be divided by 3: 2013 / 3 = 671.

To be 2013 a prime number, it would have been required that 2013 has only two divisors, i.e., itself and 1.

## Parity of 2013

2013 is an odd number, because it is not evenly divisible by 2.

## Is 2013 a perfect square 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 2013 is about 44.866.

Thus, the square root of 2013 is not an integer, and therefore 2013 is not a square number.

## What is the square number of 2013?

The square of a number (here 2013) is the result of the product of this number (2013) by itself (i.e., 2013 × 2013); the square of 2013 is sometimes called "raising 2013 to the power 2", or "2013 squared".

The square of 2013 is 4 052 169 because 2013 × 2013 = 20132 = 4 052 169.

As a consequence, 2013 is the square root of 4 052 169.

## Number of digits of 2013

2013 is a number with 4 digits.

## What are the multiples of 2013?

The multiples of 2013 are all integers evenly divisible by 2013, that is all numbers such that the remainder of the division by 2013 is zero. There are infinitely many multiples of 2013. The smallest multiples of 2013 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2013 too, since 0 × 2013 = 0
• 2013: indeed, 2013 is a multiple of itself, since 2013 is evenly divisible by 2013 (we have 2013 / 2013 = 1, so the remainder of this division is indeed zero)
• 4 026: indeed, 4 026 = 2013 × 2
• 6 039: indeed, 6 039 = 2013 × 3
• 8 052: indeed, 8 052 = 2013 × 4
• 10 065: indeed, 10 065 = 2013 × 5
• etc.

## Nearest numbers from 2013

Find out whether some integer is a prime number