It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 180 197 is not a prime number.
For example, 180 197 can be divided by 367: 180 197 / 367 = 491.
For 180 197 to be a prime number, it would have been required that 180 197 has only two divisors, i.e., itself and 1.
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180 197 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 180 197 is about 424.496.
Thus, the square root of 180 197 is not an integer, and therefore 180 197 is not a square number.
The square of a number (here 180 197) is the result of the product of this number (180 197) by itself (i.e., 180 197 × 180 197); the square of 180 197 is sometimes called "raising 180 197 to the power 2", or "180 197 squared".
The square of 180 197 is 32 470 958 809 because 180 197 × 180 197 = 180 1972 = 32 470 958 809.
As a consequence, 180 197 is the square root of 32 470 958 809.
The multiples of 180 197 are all integers evenly divisible by 180 197, that is all numbers such that the remainder of the division by 180 197 is zero. There are infinitely many multiples of 180 197. The smallest multiples of 180 197 are: