It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 197 267 is not a prime number.
For example, 197 267 can be divided by 7: 197 267 / 7 = 28 181.
For 197 267 to be a prime number, it would have been required that 197 267 has only two divisors, i.e., itself and 1.
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197 267 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 197 267 is about 444.147.
Thus, the square root of 197 267 is not an integer, and therefore 197 267 is not a square number.
The square of a number (here 197 267) is the result of the product of this number (197 267) by itself (i.e., 197 267 × 197 267); the square of 197 267 is sometimes called "raising 197 267 to the power 2", or "197 267 squared".
The square of 197 267 is 38 914 269 289 because 197 267 × 197 267 = 197 2672 = 38 914 269 289.
As a consequence, 197 267 is the square root of 38 914 269 289.
The multiples of 197 267 are all integers evenly divisible by 197 267, that is all numbers such that the remainder of the division by 197 267 is zero. There are infinitely many multiples of 197 267. The smallest multiples of 197 267 are: