Is 3617 a prime number? What are the divisors of 3617?

## Is 3617 a prime number?

Yes, 3617 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 3617, the only two divisors are 1 and 3617. Therefore 3617 is a prime number.

As a consequence, 3617 is only a multiple of 1 and 3617.

Since 3617 is a prime number, 3617 is also a deficient number, that is to say 3617 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3617 without 3617 itself (that is 1, by definition!).

## Parity of 3617

3617 is an odd number, because it is not evenly divisible by 2.

## Is 3617 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 3617 is about 60.141.

Thus, the square root of 3617 is not an integer, and therefore 3617 is not a square number.

Anyway, 3617 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3617?

The square of a number (here 3617) is the result of the product of this number (3617) by itself (i.e., 3617 × 3617); the square of 3617 is sometimes called "raising 3617 to the power 2", or "3617 squared".

The square of 3617 is 13 082 689 because 3617 × 3617 = 36172 = 13 082 689.

As a consequence, 3617 is the square root of 13 082 689.

## Number of digits of 3617

3617 is a number with 4 digits.

## What are the multiples of 3617?

The multiples of 3617 are all integers evenly divisible by 3617, that is all numbers such that the remainder of the division by 3617 is zero. There are infinitely many multiples of 3617. The smallest multiples of 3617 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3617 too, since 0 × 3617 = 0
• 3617: indeed, 3617 is a multiple of itself, since 3617 is evenly divisible by 3617 (we have 3617 / 3617 = 1, so the remainder of this division is indeed zero)
• 7 234: indeed, 7 234 = 3617 × 2
• 10 851: indeed, 10 851 = 3617 × 3
• 14 468: indeed, 14 468 = 3617 × 4
• 18 085: indeed, 18 085 = 3617 × 5
• etc.

## Nearest numbers from 3617

Find out whether some integer is a prime number