It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 26 909 is not a prime number.
For example, 26 909 can be divided by 71: 26 909 / 71 = 379.
For 26 909 to be a prime number, it would have been required that 26 909 has only two divisors, i.e., itself and 1.
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26 909 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 26 909 is about 164.040.
Thus, the square root of 26 909 is not an integer, and therefore 26 909 is not a square number.
The square of a number (here 26 909) is the result of the product of this number (26 909) by itself (i.e., 26 909 × 26 909); the square of 26 909 is sometimes called "raising 26 909 to the power 2", or "26 909 squared".
The square of 26 909 is 724 094 281 because 26 909 × 26 909 = 26 9092 = 724 094 281.
As a consequence, 26 909 is the square root of 724 094 281.
The multiples of 26 909 are all integers evenly divisible by 26 909, that is all numbers such that the remainder of the division by 26 909 is zero. There are infinitely many multiples of 26 909. The smallest multiples of 26 909 are: