Is 1439 a prime number? What are the divisors of 1439?

## Is 1439 a prime number?

Yes, 1439 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 1439, the only two divisors are 1 and 1439. Therefore 1439 is a prime number.

As a consequence, 1439 is only a multiple of 1 and 1439.

Since 1439 is a prime number, 1439 is also a deficient number, that is to say 1439 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1439 without 1439 itself (that is 1, by definition!).

## Parity of 1439

1439 is an odd number, because it is not evenly divisible by 2.

## Is 1439 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 1439 is about 37.934.

Thus, the square root of 1439 is not an integer, and therefore 1439 is not a square number.

Anyway, 1439 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1439?

The square of a number (here 1439) is the result of the product of this number (1439) by itself (i.e., 1439 × 1439); the square of 1439 is sometimes called "raising 1439 to the power 2", or "1439 squared".

The square of 1439 is 2 070 721 because 1439 × 1439 = 14392 = 2 070 721.

As a consequence, 1439 is the square root of 2 070 721.

## Number of digits of 1439

1439 is a number with 4 digits.

## What are the multiples of 1439?

The multiples of 1439 are all integers evenly divisible by 1439, that is all numbers such that the remainder of the division by 1439 is zero. There are infinitely many multiples of 1439. The smallest multiples of 1439 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1439 too, since 0 × 1439 = 0
• 1439: indeed, 1439 is a multiple of itself, since 1439 is evenly divisible by 1439 (we have 1439 / 1439 = 1, so the remainder of this division is indeed zero)
• 2 878: indeed, 2 878 = 1439 × 2
• 4 317: indeed, 4 317 = 1439 × 3
• 5 756: indeed, 5 756 = 1439 × 4
• 7 195: indeed, 7 195 = 1439 × 5
• etc.

## Nearest numbers from 1439

Find out whether some integer is a prime number