Is 3697 a prime number? What are the divisors of 3697?

## Is 3697 a prime number?

Yes, 3697 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 3697, the only two divisors are 1 and 3697. Therefore 3697 is a prime number.

As a consequence, 3697 is only a multiple of 1 and 3697.

Since 3697 is a prime number, 3697 is also a deficient number, that is to say 3697 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3697 without 3697 itself (that is 1, by definition!).

## Parity of 3697

3697 is an odd number, because it is not evenly divisible by 2.

## Is 3697 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 3697 is about 60.803.

Thus, the square root of 3697 is not an integer, and therefore 3697 is not a square number.

Anyway, 3697 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3697?

The square of a number (here 3697) is the result of the product of this number (3697) by itself (i.e., 3697 × 3697); the square of 3697 is sometimes called "raising 3697 to the power 2", or "3697 squared".

The square of 3697 is 13 667 809 because 3697 × 3697 = 36972 = 13 667 809.

As a consequence, 3697 is the square root of 13 667 809.

## Number of digits of 3697

3697 is a number with 4 digits.

## What are the multiples of 3697?

The multiples of 3697 are all integers evenly divisible by 3697, that is all numbers such that the remainder of the division by 3697 is zero. There are infinitely many multiples of 3697. The smallest multiples of 3697 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3697 too, since 0 × 3697 = 0
• 3697: indeed, 3697 is a multiple of itself, since 3697 is evenly divisible by 3697 (we have 3697 / 3697 = 1, so the remainder of this division is indeed zero)
• 7 394: indeed, 7 394 = 3697 × 2
• 11 091: indeed, 11 091 = 3697 × 3
• 14 788: indeed, 14 788 = 3697 × 4
• 18 485: indeed, 18 485 = 3697 × 5
• etc.

## Nearest numbers from 3697

Find out whether some integer is a prime number