It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 343 097 is not a prime number.
For example, 343 097 can be divided by 43: 343 097 / 43 = 7 979.
For 343 097 to be a prime number, it would have been required that 343 097 has only two divisors, i.e., itself and 1.
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343 097 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 343 097 is about 585.745.
Thus, the square root of 343 097 is not an integer, and therefore 343 097 is not a square number.
The square of a number (here 343 097) is the result of the product of this number (343 097) by itself (i.e., 343 097 × 343 097); the square of 343 097 is sometimes called "raising 343 097 to the power 2", or "343 097 squared".
The square of 343 097 is 117 715 551 409 because 343 097 × 343 097 = 343 0972 = 117 715 551 409.
As a consequence, 343 097 is the square root of 117 715 551 409.
The multiples of 343 097 are all integers evenly divisible by 343 097, that is all numbers such that the remainder of the division by 343 097 is zero. There are infinitely many multiples of 343 097. The smallest multiples of 343 097 are: