Is 1289 a prime number? What are the divisors of 1289?

## Is 1289 a prime number?

Yes, 1289 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 1289, the only two divisors are 1 and 1289. Therefore 1289 is a prime number.

As a consequence, 1289 is only a multiple of 1 and 1289.

Since 1289 is a prime number, 1289 is also a deficient number, that is to say 1289 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1289 without 1289 itself (that is 1, by definition!).

## Parity of 1289

1289 is an odd number, because it is not evenly divisible by 2.

## Is 1289 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 1289 is about 35.903.

Thus, the square root of 1289 is not an integer, and therefore 1289 is not a square number.

Anyway, 1289 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1289?

The square of a number (here 1289) is the result of the product of this number (1289) by itself (i.e., 1289 × 1289); the square of 1289 is sometimes called "raising 1289 to the power 2", or "1289 squared".

The square of 1289 is 1 661 521 because 1289 × 1289 = 12892 = 1 661 521.

As a consequence, 1289 is the square root of 1 661 521.

## Number of digits of 1289

1289 is a number with 4 digits.

## What are the multiples of 1289?

The multiples of 1289 are all integers evenly divisible by 1289, that is all numbers such that the remainder of the division by 1289 is zero. There are infinitely many multiples of 1289. The smallest multiples of 1289 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1289 too, since 0 × 1289 = 0
• 1289: indeed, 1289 is a multiple of itself, since 1289 is evenly divisible by 1289 (we have 1289 / 1289 = 1, so the remainder of this division is indeed zero)
• 2 578: indeed, 2 578 = 1289 × 2
• 3 867: indeed, 3 867 = 1289 × 3
• 5 156: indeed, 5 156 = 1289 × 4
• 6 445: indeed, 6 445 = 1289 × 5
• etc.

## Nearest numbers from 1289

Find out whether some integer is a prime number