It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 343 013 is not a prime number.
For example, 343 013 can be divided by 11: 343 013 / 11 = 31 183.
For 343 013 to be a prime number, it would have been required that 343 013 has only two divisors, i.e., itself and 1.
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343 013 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 343 013 is about 585.673.
Thus, the square root of 343 013 is not an integer, and therefore 343 013 is not a square number.
The square of a number (here 343 013) is the result of the product of this number (343 013) by itself (i.e., 343 013 × 343 013); the square of 343 013 is sometimes called "raising 343 013 to the power 2", or "343 013 squared".
The square of 343 013 is 117 657 918 169 because 343 013 × 343 013 = 343 0132 = 117 657 918 169.
As a consequence, 343 013 is the square root of 117 657 918 169.
The multiples of 343 013 are all integers evenly divisible by 343 013, that is all numbers such that the remainder of the division by 343 013 is zero. There are infinitely many multiples of 343 013. The smallest multiples of 343 013 are: