Is 4663 a prime number? What are the divisors of 4663?

## Is 4663 a prime number?

Yes, 4663 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 4663, the only two divisors are 1 and 4663. Therefore 4663 is a prime number.

As a consequence, 4663 is only a multiple of 1 and 4663.

Since 4663 is a prime number, 4663 is also a deficient number, that is to say 4663 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 4663 without 4663 itself (that is 1, by definition!).

## Parity of 4663

4663 is an odd number, because it is not evenly divisible by 2.

## Is 4663 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 4663 is about 68.286.

Thus, the square root of 4663 is not an integer, and therefore 4663 is not a square number.

Anyway, 4663 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 4663?

The square of a number (here 4663) is the result of the product of this number (4663) by itself (i.e., 4663 × 4663); the square of 4663 is sometimes called "raising 4663 to the power 2", or "4663 squared".

The square of 4663 is 21 743 569 because 4663 × 4663 = 46632 = 21 743 569.

As a consequence, 4663 is the square root of 21 743 569.

## Number of digits of 4663

4663 is a number with 4 digits.

## What are the multiples of 4663?

The multiples of 4663 are all integers evenly divisible by 4663, that is all numbers such that the remainder of the division by 4663 is zero. There are infinitely many multiples of 4663. The smallest multiples of 4663 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4663 too, since 0 × 4663 = 0
• 4663: indeed, 4663 is a multiple of itself, since 4663 is evenly divisible by 4663 (we have 4663 / 4663 = 1, so the remainder of this division is indeed zero)
• 9 326: indeed, 9 326 = 4663 × 2
• 13 989: indeed, 13 989 = 4663 × 3
• 18 652: indeed, 18 652 = 4663 × 4
• 23 315: indeed, 23 315 = 4663 × 5
• etc.

## Nearest numbers from 4663

Find out whether some integer is a prime number