It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 13 289 is not a prime number.
For example, 13 289 can be divided by 97: 13 289 / 97 = 137.
For 13 289 to be a prime number, it would have been required that 13 289 has only two divisors, i.e., itself and 1.
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13 289 is an odd number, because it is not evenly divisible by 2.
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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 13 289 is about 115.278.
Thus, the square root of 13 289 is not an integer, and therefore 13 289 is not a square number.
The square of a number (here 13 289) is the result of the product of this number (13 289) by itself (i.e., 13 289 × 13 289); the square of 13 289 is sometimes called "raising 13 289 to the power 2", or "13 289 squared".
The square of 13 289 is 176 597 521 because 13 289 × 13 289 = 13 2892 = 176 597 521.
As a consequence, 13 289 is the square root of 176 597 521.
The multiples of 13 289 are all integers evenly divisible by 13 289, that is all numbers such that the remainder of the division by 13 289 is zero. There are infinitely many multiples of 13 289. The smallest multiples of 13 289 are: