Is 3673 a prime number? What are the divisors of 3673?

## Is 3673 a prime number?

Yes, 3673 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 3673, the only two divisors are 1 and 3673. Therefore 3673 is a prime number.

As a consequence, 3673 is only a multiple of 1 and 3673.

Since 3673 is a prime number, 3673 is also a deficient number, that is to say 3673 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3673 without 3673 itself (that is 1, by definition!).

## Parity of 3673

3673 is an odd number, because it is not evenly divisible by 2.

## Is 3673 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 3673 is about 60.605.

Thus, the square root of 3673 is not an integer, and therefore 3673 is not a square number.

Anyway, 3673 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3673?

The square of a number (here 3673) is the result of the product of this number (3673) by itself (i.e., 3673 × 3673); the square of 3673 is sometimes called "raising 3673 to the power 2", or "3673 squared".

The square of 3673 is 13 490 929 because 3673 × 3673 = 36732 = 13 490 929.

As a consequence, 3673 is the square root of 13 490 929.

## Number of digits of 3673

3673 is a number with 4 digits.

## What are the multiples of 3673?

The multiples of 3673 are all integers evenly divisible by 3673, that is all numbers such that the remainder of the division by 3673 is zero. There are infinitely many multiples of 3673. The smallest multiples of 3673 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3673 too, since 0 × 3673 = 0
• 3673: indeed, 3673 is a multiple of itself, since 3673 is evenly divisible by 3673 (we have 3673 / 3673 = 1, so the remainder of this division is indeed zero)
• 7 346: indeed, 7 346 = 3673 × 2
• 11 019: indeed, 11 019 = 3673 × 3
• 14 692: indeed, 14 692 = 3673 × 4
• 18 365: indeed, 18 365 = 3673 × 5
• etc.

## Nearest numbers from 3673

Find out whether some integer is a prime number