It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 5 537 197 is not a prime number.
For example, 5 537 197 can be divided by 661: 5 537 197 / 661 = 8 377.
For 5 537 197 to be a prime number, it would have been required that 5 537 197 has only two divisors, i.e., itself and 1.
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5 537 197 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 5 537 197 is about 2 353.125.
Thus, the square root of 5 537 197 is not an integer, and therefore 5 537 197 is not a square number.
The square of a number (here 5 537 197) is the result of the product of this number (5 537 197) by itself (i.e., 5 537 197 × 5 537 197); the square of 5 537 197 is sometimes called "raising 5 537 197 to the power 2", or "5 537 197 squared".
The square of 5 537 197 is 30 660 550 616 809 because 5 537 197 × 5 537 197 = 5 537 1972 = 30 660 550 616 809.
As a consequence, 5 537 197 is the square root of 30 660 550 616 809.
The multiples of 5 537 197 are all integers evenly divisible by 5 537 197, that is all numbers such that the remainder of the division by 5 537 197 is zero. There are infinitely many multiples of 5 537 197. The smallest multiples of 5 537 197 are: