Is 3677 a prime number? What are the divisors of 3677?

## Is 3677 a prime number?

Yes, 3677 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 3677, the only two divisors are 1 and 3677. Therefore 3677 is a prime number.

As a consequence, 3677 is only a multiple of 1 and 3677.

Since 3677 is a prime number, 3677 is also a deficient number, that is to say 3677 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3677 without 3677 itself (that is 1, by definition!).

## Parity of 3677

3677 is an odd number, because it is not evenly divisible by 2.

## Is 3677 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 3677 is about 60.638.

Thus, the square root of 3677 is not an integer, and therefore 3677 is not a square number.

Anyway, 3677 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3677?

The square of a number (here 3677) is the result of the product of this number (3677) by itself (i.e., 3677 × 3677); the square of 3677 is sometimes called "raising 3677 to the power 2", or "3677 squared".

The square of 3677 is 13 520 329 because 3677 × 3677 = 36772 = 13 520 329.

As a consequence, 3677 is the square root of 13 520 329.

## Number of digits of 3677

3677 is a number with 4 digits.

## What are the multiples of 3677?

The multiples of 3677 are all integers evenly divisible by 3677, that is all numbers such that the remainder of the division by 3677 is zero. There are infinitely many multiples of 3677. The smallest multiples of 3677 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3677 too, since 0 × 3677 = 0
• 3677: indeed, 3677 is a multiple of itself, since 3677 is evenly divisible by 3677 (we have 3677 / 3677 = 1, so the remainder of this division is indeed zero)
• 7 354: indeed, 7 354 = 3677 × 2
• 11 031: indeed, 11 031 = 3677 × 3
• 14 708: indeed, 14 708 = 3677 × 4
• 18 385: indeed, 18 385 = 3677 × 5
• etc.

## Nearest numbers from 3677

Find out whether some integer is a prime number