It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 43 709 is not a prime number.
For example, 43 709 can be divided by 109: 43 709 / 109 = 401.
For 43 709 to be a prime number, it would have been required that 43 709 has only two divisors, i.e., itself and 1.
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43 709 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 43 709 is about 209.067.
Thus, the square root of 43 709 is not an integer, and therefore 43 709 is not a square number.
The square of a number (here 43 709) is the result of the product of this number (43 709) by itself (i.e., 43 709 × 43 709); the square of 43 709 is sometimes called "raising 43 709 to the power 2", or "43 709 squared".
The square of 43 709 is 1 910 476 681 because 43 709 × 43 709 = 43 7092 = 1 910 476 681.
As a consequence, 43 709 is the square root of 1 910 476 681.
The multiples of 43 709 are all integers evenly divisible by 43 709, that is all numbers such that the remainder of the division by 43 709 is zero. There are infinitely many multiples of 43 709. The smallest multiples of 43 709 are: