It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 242 501 is not a prime number.
For example, 242 501 can be divided by 7: 242 501 / 7 = 34 643.
For 242 501 to be a prime number, it would have been required that 242 501 has only two divisors, i.e., itself and 1.
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242 501 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 242 501 is about 492.444.
Thus, the square root of 242 501 is not an integer, and therefore 242 501 is not a square number.
The square of a number (here 242 501) is the result of the product of this number (242 501) by itself (i.e., 242 501 × 242 501); the square of 242 501 is sometimes called "raising 242 501 to the power 2", or "242 501 squared".
The square of 242 501 is 58 806 735 001 because 242 501 × 242 501 = 242 5012 = 58 806 735 001.
As a consequence, 242 501 is the square root of 58 806 735 001.
The multiples of 242 501 are all integers evenly divisible by 242 501, that is all numbers such that the remainder of the division by 242 501 is zero. There are infinitely many multiples of 242 501. The smallest multiples of 242 501 are: