Is 1613 a prime number? What are the divisors of 1613?

## Is 1613 a prime number?

Yes, 1613 is a prime number.

Indeed, the definition of a prime numbers is to have only two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 1613, the only two divisors are 1 and 1613. Therefore 1613 is a prime number.

As a consequence, 1613 is only a multiple of 1 and 1613.

Since 1613 is a prime number, 1613 is also a deficient number, that is to say 1613 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1613 without 1613 itself (that is 1, by definition!).

## Parity of 1613

1613 is an odd number, because it is not evenly divisible by 2.

## Is 1613 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 1613 is about 40.162.

Thus, the square root of 1613 is not an integer, and therefore 1613 is not a square number.

Anyway, 1613 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1613?

The square of a number (here 1613) is the result of the product of this number (1613) by itself (i.e., 1613 × 1613); the square of 1613 is sometimes called "raising 1613 to the power 2", or "1613 squared".

The square of 1613 is 2 601 769 because 1613 × 1613 = 16132 = 2 601 769.

As a consequence, 1613 is the square root of 2 601 769.

## Number of digits of 1613

1613 is a number with 4 digits.

## What are the multiples of 1613?

The multiples of 1613 are all integers evenly divisible by 1613, that is all numbers such that the remainder of the division by 1613 is zero. There are infinitely many multiples of 1613. The smallest multiples of 1613 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1613 too, since 0 × 1613 = 0
• 1613: indeed, 1613 is a multiple of itself, since 1613 is evenly divisible by 1613 (we have 1613 / 1613 = 1, so the remainder of this division is indeed zero)
• 3 226: indeed, 3 226 = 1613 × 2
• 4 839: indeed, 4 839 = 1613 × 3
• 6 452: indeed, 6 452 = 1613 × 4
• 8 065: indeed, 8 065 = 1613 × 5
• etc.

## Nearest numbers from 1613

Find out whether some integer is a prime number