Is 4643 a prime number? What are the divisors of 4643?

## Is 4643 a prime number?

Yes, 4643 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 4643, the only two divisors are 1 and 4643. Therefore 4643 is a prime number.

As a consequence, 4643 is only a multiple of 1 and 4643.

Since 4643 is a prime number, 4643 is also a deficient number, that is to say 4643 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 4643 without 4643 itself (that is 1, by definition!).

## Parity of 4643

4643 is an odd number, because it is not evenly divisible by 2.

## Is 4643 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 4643 is about 68.140.

Thus, the square root of 4643 is not an integer, and therefore 4643 is not a square number.

Anyway, 4643 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 4643?

The square of a number (here 4643) is the result of the product of this number (4643) by itself (i.e., 4643 × 4643); the square of 4643 is sometimes called "raising 4643 to the power 2", or "4643 squared".

The square of 4643 is 21 557 449 because 4643 × 4643 = 46432 = 21 557 449.

As a consequence, 4643 is the square root of 21 557 449.

## Number of digits of 4643

4643 is a number with 4 digits.

## What are the multiples of 4643?

The multiples of 4643 are all integers evenly divisible by 4643, that is all numbers such that the remainder of the division by 4643 is zero. There are infinitely many multiples of 4643. The smallest multiples of 4643 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4643 too, since 0 × 4643 = 0
• 4643: indeed, 4643 is a multiple of itself, since 4643 is evenly divisible by 4643 (we have 4643 / 4643 = 1, so the remainder of this division is indeed zero)
• 9 286: indeed, 9 286 = 4643 × 2
• 13 929: indeed, 13 929 = 4643 × 3
• 18 572: indeed, 18 572 = 4643 × 4
• 23 215: indeed, 23 215 = 4643 × 5
• etc.

## Nearest numbers from 4643

Find out whether some integer is a prime number