Is 1019 a prime number? What are the divisors of 1019?

## Is 1019 a prime number?

Yes, 1019 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 1019, the only two divisors are 1 and 1019. Therefore 1019 is a prime number.

As a consequence, 1019 is only a multiple of 1 and 1019.

Since 1019 is a prime number, 1019 is also a deficient number, that is to say 1019 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1019 without 1019 itself (that is 1, by definition!).

## Parity of 1019

1019 is an odd number, because it is not evenly divisible by 2.

## Is 1019 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 1019 is about 31.922.

Thus, the square root of 1019 is not an integer, and therefore 1019 is not a square number.

Anyway, 1019 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1019?

The square of a number (here 1019) is the result of the product of this number (1019) by itself (i.e., 1019 × 1019); the square of 1019 is sometimes called "raising 1019 to the power 2", or "1019 squared".

The square of 1019 is 1 038 361 because 1019 × 1019 = 10192 = 1 038 361.

As a consequence, 1019 is the square root of 1 038 361.

## Number of digits of 1019

1019 is a number with 4 digits.

## What are the multiples of 1019?

The multiples of 1019 are all integers evenly divisible by 1019, that is all numbers such that the remainder of the division by 1019 is zero. There are infinitely many multiples of 1019. The smallest multiples of 1019 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1019 too, since 0 × 1019 = 0
• 1019: indeed, 1019 is a multiple of itself, since 1019 is evenly divisible by 1019 (we have 1019 / 1019 = 1, so the remainder of this division is indeed zero)
• 2 038: indeed, 2 038 = 1019 × 2
• 3 057: indeed, 3 057 = 1019 × 3
• 4 076: indeed, 4 076 = 1019 × 4
• 5 095: indeed, 5 095 = 1019 × 5
• etc.

## Nearest numbers from 1019

Find out whether some integer is a prime number