It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 62 609 is not a prime number.
For example, 62 609 can be divided by 137: 62 609 / 137 = 457.
For 62 609 to be a prime number, it would have been required that 62 609 has only two divisors, i.e., itself and 1.
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62 609 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 62 609 is about 250.218.
Thus, the square root of 62 609 is not an integer, and therefore 62 609 is not a square number.
The square of a number (here 62 609) is the result of the product of this number (62 609) by itself (i.e., 62 609 × 62 609); the square of 62 609 is sometimes called "raising 62 609 to the power 2", or "62 609 squared".
The square of 62 609 is 3 919 886 881 because 62 609 × 62 609 = 62 6092 = 3 919 886 881.
As a consequence, 62 609 is the square root of 3 919 886 881.
The multiples of 62 609 are all integers evenly divisible by 62 609, that is all numbers such that the remainder of the division by 62 609 is zero. There are infinitely many multiples of 62 609. The smallest multiples of 62 609 are: