It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 197 008 is not a prime number.
For example, 197 008 can be divided by 2: 197 008 / 2 = 98 504.
For 197 008 to be a prime number, it would have been required that 197 008 has only two divisors, i.e., itself and 1.
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197 008 is an even number, because it is evenly divisible by 2: 197 008 / 2 = 98 504.
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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 197 008 is about 443.856.
Thus, the square root of 197 008 is not an integer, and therefore 197 008 is not a square number.
The square of a number (here 197 008) is the result of the product of this number (197 008) by itself (i.e., 197 008 × 197 008); the square of 197 008 is sometimes called "raising 197 008 to the power 2", or "197 008 squared".
The square of 197 008 is 38 812 152 064 because 197 008 × 197 008 = 197 0082 = 38 812 152 064.
As a consequence, 197 008 is the square root of 38 812 152 064.
The multiples of 197 008 are all integers evenly divisible by 197 008, that is all numbers such that the remainder of the division by 197 008 is zero. There are infinitely many multiples of 197 008. The smallest multiples of 197 008 are: