It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 4 004 243 is not a prime number.
For example, 4 004 243 can be divided by 1 283: 4 004 243 / 1283 = 3 121.
For 4 004 243 to be a prime number, it would have been required that 4 004 243 has only two divisors, i.e., itself and 1.
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4 004 243 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 4 004 243 is about 2 001.060.
Thus, the square root of 4 004 243 is not an integer, and therefore 4 004 243 is not a square number.
The square of a number (here 4 004 243) is the result of the product of this number (4 004 243) by itself (i.e., 4 004 243 × 4 004 243); the square of 4 004 243 is sometimes called "raising 4 004 243 to the power 2", or "4 004 243 squared".
The square of 4 004 243 is 16 033 962 003 049 because 4 004 243 × 4 004 243 = 4 004 2432 = 16 033 962 003 049.
As a consequence, 4 004 243 is the square root of 16 033 962 003 049.
The multiples of 4 004 243 are all integers evenly divisible by 4 004 243, that is all numbers such that the remainder of the division by 4 004 243 is zero. There are infinitely many multiples of 4 004 243. The smallest multiples of 4 004 243 are: