It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 343 007 is not a prime number.
For example, 343 007 can be divided by 7: 343 007 / 7 = 49 001.
For 343 007 to be a prime number, it would have been required that 343 007 has only two divisors, i.e., itself and 1.
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343 007 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 343 007 is about 585.668.
Thus, the square root of 343 007 is not an integer, and therefore 343 007 is not a square number.
The square of a number (here 343 007) is the result of the product of this number (343 007) by itself (i.e., 343 007 × 343 007); the square of 343 007 is sometimes called "raising 343 007 to the power 2", or "343 007 squared".
The square of 343 007 is 117 653 802 049 because 343 007 × 343 007 = 343 0072 = 117 653 802 049.
As a consequence, 343 007 is the square root of 117 653 802 049.
The multiples of 343 007 are all integers evenly divisible by 343 007, that is all numbers such that the remainder of the division by 343 007 is zero. There are infinitely many multiples of 343 007. The smallest multiples of 343 007 are: