Is 4019 a prime number? What are the divisors of 4019?

## Is 4019 a prime number?

Yes, 4019 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 4019, the only two divisors are 1 and 4019. Therefore 4019 is a prime number.

As a consequence, 4019 is only a multiple of 1 and 4019.

Since 4019 is a prime number, 4019 is also a deficient number, that is to say 4019 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 4019 without 4019 itself (that is 1, by definition!).

## Parity of 4019

4019 is an odd number, because it is not evenly divisible by 2.

## Is 4019 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 4019 is about 63.396.

Thus, the square root of 4019 is not an integer, and therefore 4019 is not a square number.

Anyway, 4019 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 4019?

The square of a number (here 4019) is the result of the product of this number (4019) by itself (i.e., 4019 × 4019); the square of 4019 is sometimes called "raising 4019 to the power 2", or "4019 squared".

The square of 4019 is 16 152 361 because 4019 × 4019 = 40192 = 16 152 361.

As a consequence, 4019 is the square root of 16 152 361.

## Number of digits of 4019

4019 is a number with 4 digits.

## What are the multiples of 4019?

The multiples of 4019 are all integers evenly divisible by 4019, that is all numbers such that the remainder of the division by 4019 is zero. There are infinitely many multiples of 4019. The smallest multiples of 4019 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4019 too, since 0 × 4019 = 0
• 4019: indeed, 4019 is a multiple of itself, since 4019 is evenly divisible by 4019 (we have 4019 / 4019 = 1, so the remainder of this division is indeed zero)
• 8 038: indeed, 8 038 = 4019 × 2
• 12 057: indeed, 12 057 = 4019 × 3
• 16 076: indeed, 16 076 = 4019 × 4
• 20 095: indeed, 20 095 = 4019 × 5
• etc.

## Nearest numbers from 4019

Find out whether some integer is a prime number