It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 37 343 is not a prime number.
For example, 37 343 can be divided by 107: 37 343 / 107 = 349.
For 37 343 to be a prime number, it would have been required that 37 343 has only two divisors, i.e., itself and 1.
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37 343 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 37 343 is about 193.243.
Thus, the square root of 37 343 is not an integer, and therefore 37 343 is not a square number.
The square of a number (here 37 343) is the result of the product of this number (37 343) by itself (i.e., 37 343 × 37 343); the square of 37 343 is sometimes called "raising 37 343 to the power 2", or "37 343 squared".
The square of 37 343 is 1 394 499 649 because 37 343 × 37 343 = 37 3432 = 1 394 499 649.
As a consequence, 37 343 is the square root of 1 394 499 649.
The multiples of 37 343 are all integers evenly divisible by 37 343, that is all numbers such that the remainder of the division by 37 343 is zero. There are infinitely many multiples of 37 343. The smallest multiples of 37 343 are: