Is 1489 a prime number? What are the divisors of 1489?

## Is 1489 a prime number?

Yes, 1489 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 1489, the only two divisors are 1 and 1489. Therefore 1489 is a prime number.

As a consequence, 1489 is only a multiple of 1 and 1489.

Since 1489 is a prime number, 1489 is also a deficient number, that is to say 1489 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1489 without 1489 itself (that is 1, by definition!).

## Parity of 1489

1489 is an odd number, because it is not evenly divisible by 2.

## Is 1489 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 1489 is about 38.588.

Thus, the square root of 1489 is not an integer, and therefore 1489 is not a square number.

Anyway, 1489 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1489?

The square of a number (here 1489) is the result of the product of this number (1489) by itself (i.e., 1489 × 1489); the square of 1489 is sometimes called "raising 1489 to the power 2", or "1489 squared".

The square of 1489 is 2 217 121 because 1489 × 1489 = 14892 = 2 217 121.

As a consequence, 1489 is the square root of 2 217 121.

## Number of digits of 1489

1489 is a number with 4 digits.

## What are the multiples of 1489?

The multiples of 1489 are all integers evenly divisible by 1489, that is all numbers such that the remainder of the division by 1489 is zero. There are infinitely many multiples of 1489. The smallest multiples of 1489 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1489 too, since 0 × 1489 = 0
• 1489: indeed, 1489 is a multiple of itself, since 1489 is evenly divisible by 1489 (we have 1489 / 1489 = 1, so the remainder of this division is indeed zero)
• 2 978: indeed, 2 978 = 1489 × 2
• 4 467: indeed, 4 467 = 1489 × 3
• 5 956: indeed, 5 956 = 1489 × 4
• 7 445: indeed, 7 445 = 1489 × 5
• etc.

## Nearest numbers from 1489

Find out whether some integer is a prime number