Is 3671 a prime number? What are the divisors of 3671?

## Is 3671 a prime number?

Yes, 3671 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 3671, the only two divisors are 1 and 3671. Therefore 3671 is a prime number.

As a consequence, 3671 is only a multiple of 1 and 3671.

Since 3671 is a prime number, 3671 is also a deficient number, that is to say 3671 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3671 without 3671 itself (that is 1, by definition!).

## Parity of 3671

3671 is an odd number, because it is not evenly divisible by 2.

## Is 3671 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 3671 is about 60.589.

Thus, the square root of 3671 is not an integer, and therefore 3671 is not a square number.

Anyway, 3671 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3671?

The square of a number (here 3671) is the result of the product of this number (3671) by itself (i.e., 3671 × 3671); the square of 3671 is sometimes called "raising 3671 to the power 2", or "3671 squared".

The square of 3671 is 13 476 241 because 3671 × 3671 = 36712 = 13 476 241.

As a consequence, 3671 is the square root of 13 476 241.

## Number of digits of 3671

3671 is a number with 4 digits.

## What are the multiples of 3671?

The multiples of 3671 are all integers evenly divisible by 3671, that is all numbers such that the remainder of the division by 3671 is zero. There are infinitely many multiples of 3671. The smallest multiples of 3671 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3671 too, since 0 × 3671 = 0
• 3671: indeed, 3671 is a multiple of itself, since 3671 is evenly divisible by 3671 (we have 3671 / 3671 = 1, so the remainder of this division is indeed zero)
• 7 342: indeed, 7 342 = 3671 × 2
• 11 013: indeed, 11 013 = 3671 × 3
• 14 684: indeed, 14 684 = 3671 × 4
• 18 355: indeed, 18 355 = 3671 × 5
• etc.

## Nearest numbers from 3671

Find out whether some integer is a prime number