Is 3643 a prime number? What are the divisors of 3643?

## Is 3643 a prime number?

Yes, 3643 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 3643, the only two divisors are 1 and 3643. Therefore 3643 is a prime number.

As a consequence, 3643 is only a multiple of 1 and 3643.

Since 3643 is a prime number, 3643 is also a deficient number, that is to say 3643 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3643 without 3643 itself (that is 1, by definition!).

## Parity of 3643

3643 is an odd number, because it is not evenly divisible by 2.

## Is 3643 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 3643 is about 60.357.

Thus, the square root of 3643 is not an integer, and therefore 3643 is not a square number.

Anyway, 3643 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3643?

The square of a number (here 3643) is the result of the product of this number (3643) by itself (i.e., 3643 × 3643); the square of 3643 is sometimes called "raising 3643 to the power 2", or "3643 squared".

The square of 3643 is 13 271 449 because 3643 × 3643 = 36432 = 13 271 449.

As a consequence, 3643 is the square root of 13 271 449.

## Number of digits of 3643

3643 is a number with 4 digits.

## What are the multiples of 3643?

The multiples of 3643 are all integers evenly divisible by 3643, that is all numbers such that the remainder of the division by 3643 is zero. There are infinitely many multiples of 3643. The smallest multiples of 3643 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3643 too, since 0 × 3643 = 0
• 3643: indeed, 3643 is a multiple of itself, since 3643 is evenly divisible by 3643 (we have 3643 / 3643 = 1, so the remainder of this division is indeed zero)
• 7 286: indeed, 7 286 = 3643 × 2
• 10 929: indeed, 10 929 = 3643 × 3
• 14 572: indeed, 14 572 = 3643 × 4
• 18 215: indeed, 18 215 = 3643 × 5
• etc.

## Nearest numbers from 3643

Find out whether some integer is a prime number