Is 4363 a prime number? What are the divisors of 4363?

## Is 4363 a prime number?

Yes, 4363 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 4363, the only two divisors are 1 and 4363. Therefore 4363 is a prime number.

As a consequence, 4363 is only a multiple of 1 and 4363.

Since 4363 is a prime number, 4363 is also a deficient number, that is to say 4363 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 4363 without 4363 itself (that is 1, by definition!).

## Parity of 4363

4363 is an odd number, because it is not evenly divisible by 2.

## Is 4363 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 4363 is about 66.053.

Thus, the square root of 4363 is not an integer, and therefore 4363 is not a square number.

Anyway, 4363 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 4363?

The square of a number (here 4363) is the result of the product of this number (4363) by itself (i.e., 4363 × 4363); the square of 4363 is sometimes called "raising 4363 to the power 2", or "4363 squared".

The square of 4363 is 19 035 769 because 4363 × 4363 = 43632 = 19 035 769.

As a consequence, 4363 is the square root of 19 035 769.

## Number of digits of 4363

4363 is a number with 4 digits.

## What are the multiples of 4363?

The multiples of 4363 are all integers evenly divisible by 4363, that is all numbers such that the remainder of the division by 4363 is zero. There are infinitely many multiples of 4363. The smallest multiples of 4363 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4363 too, since 0 × 4363 = 0
• 4363: indeed, 4363 is a multiple of itself, since 4363 is evenly divisible by 4363 (we have 4363 / 4363 = 1, so the remainder of this division is indeed zero)
• 8 726: indeed, 8 726 = 4363 × 2
• 13 089: indeed, 13 089 = 4363 × 3
• 17 452: indeed, 17 452 = 4363 × 4
• 21 815: indeed, 21 815 = 4363 × 5
• etc.

## Nearest numbers from 4363

Find out whether some integer is a prime number