Is 3607 a prime number? What are the divisors of 3607?

## Is 3607 a prime number?

Yes, 3607 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 3607, the only two divisors are 1 and 3607. Therefore 3607 is a prime number.

As a consequence, 3607 is only a multiple of 1 and 3607.

Since 3607 is a prime number, 3607 is also a deficient number, that is to say 3607 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3607 without 3607 itself (that is 1, by definition!).

## Parity of 3607

3607 is an odd number, because it is not evenly divisible by 2.

## Is 3607 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 3607 is about 60.058.

Thus, the square root of 3607 is not an integer, and therefore 3607 is not a square number.

Anyway, 3607 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3607?

The square of a number (here 3607) is the result of the product of this number (3607) by itself (i.e., 3607 × 3607); the square of 3607 is sometimes called "raising 3607 to the power 2", or "3607 squared".

The square of 3607 is 13 010 449 because 3607 × 3607 = 36072 = 13 010 449.

As a consequence, 3607 is the square root of 13 010 449.

## Number of digits of 3607

3607 is a number with 4 digits.

## What are the multiples of 3607?

The multiples of 3607 are all integers evenly divisible by 3607, that is all numbers such that the remainder of the division by 3607 is zero. There are infinitely many multiples of 3607. The smallest multiples of 3607 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3607 too, since 0 × 3607 = 0
• 3607: indeed, 3607 is a multiple of itself, since 3607 is evenly divisible by 3607 (we have 3607 / 3607 = 1, so the remainder of this division is indeed zero)
• 7 214: indeed, 7 214 = 3607 × 2
• 10 821: indeed, 10 821 = 3607 × 3
• 14 428: indeed, 14 428 = 3607 × 4
• 18 035: indeed, 18 035 = 3607 × 5
• etc.

## Nearest numbers from 3607

Find out whether some integer is a prime number