Is 4021 a prime number? What are the divisors of 4021?

## Is 4021 a prime number?

Yes, 4021 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 4021, the only two divisors are 1 and 4021. Therefore 4021 is a prime number.

As a consequence, 4021 is only a multiple of 1 and 4021.

Since 4021 is a prime number, 4021 is also a deficient number, that is to say 4021 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 4021 without 4021 itself (that is 1, by definition!).

## Parity of 4021

4021 is an odd number, because it is not evenly divisible by 2.

## Is 4021 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 4021 is about 63.411.

Thus, the square root of 4021 is not an integer, and therefore 4021 is not a square number.

Anyway, 4021 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 4021?

The square of a number (here 4021) is the result of the product of this number (4021) by itself (i.e., 4021 × 4021); the square of 4021 is sometimes called "raising 4021 to the power 2", or "4021 squared".

The square of 4021 is 16 168 441 because 4021 × 4021 = 40212 = 16 168 441.

As a consequence, 4021 is the square root of 16 168 441.

## Number of digits of 4021

4021 is a number with 4 digits.

## What are the multiples of 4021?

The multiples of 4021 are all integers evenly divisible by 4021, that is all numbers such that the remainder of the division by 4021 is zero. There are infinitely many multiples of 4021. The smallest multiples of 4021 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4021 too, since 0 × 4021 = 0
• 4021: indeed, 4021 is a multiple of itself, since 4021 is evenly divisible by 4021 (we have 4021 / 4021 = 1, so the remainder of this division is indeed zero)
• 8 042: indeed, 8 042 = 4021 × 2
• 12 063: indeed, 12 063 = 4021 × 3
• 16 084: indeed, 16 084 = 4021 × 4
• 20 105: indeed, 20 105 = 4021 × 5
• etc.

## Nearest numbers from 4021

Find out whether some integer is a prime number