Is 3659 a prime number? What are the divisors of 3659?

## Is 3659 a prime number?

Yes, 3659 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 3659, the only two divisors are 1 and 3659. Therefore 3659 is a prime number.

As a consequence, 3659 is only a multiple of 1 and 3659.

Since 3659 is a prime number, 3659 is also a deficient number, that is to say 3659 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3659 without 3659 itself (that is 1, by definition!).

## Parity of 3659

3659 is an odd number, because it is not evenly divisible by 2.

## Is 3659 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 3659 is about 60.490.

Thus, the square root of 3659 is not an integer, and therefore 3659 is not a square number.

Anyway, 3659 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3659?

The square of a number (here 3659) is the result of the product of this number (3659) by itself (i.e., 3659 × 3659); the square of 3659 is sometimes called "raising 3659 to the power 2", or "3659 squared".

The square of 3659 is 13 388 281 because 3659 × 3659 = 36592 = 13 388 281.

As a consequence, 3659 is the square root of 13 388 281.

## Number of digits of 3659

3659 is a number with 4 digits.

## What are the multiples of 3659?

The multiples of 3659 are all integers evenly divisible by 3659, that is all numbers such that the remainder of the division by 3659 is zero. There are infinitely many multiples of 3659. The smallest multiples of 3659 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3659 too, since 0 × 3659 = 0
• 3659: indeed, 3659 is a multiple of itself, since 3659 is evenly divisible by 3659 (we have 3659 / 3659 = 1, so the remainder of this division is indeed zero)
• 7 318: indeed, 7 318 = 3659 × 2
• 10 977: indeed, 10 977 = 3659 × 3
• 14 636: indeed, 14 636 = 3659 × 4
• 18 295: indeed, 18 295 = 3659 × 5
• etc.

## Nearest numbers from 3659

Find out whether some integer is a prime number