It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 4 021 789 is not a prime number.
For example, 4 021 789 can be divided by 37: 4 021 789 / 37 = 108 697.
For 4 021 789 to be a prime number, it would have been required that 4 021 789 has only two divisors, i.e., itself and 1.
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4 021 789 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 4 021 789 is about 2 005.440.
Thus, the square root of 4 021 789 is not an integer, and therefore 4 021 789 is not a square number.
The square of a number (here 4 021 789) is the result of the product of this number (4 021 789) by itself (i.e., 4 021 789 × 4 021 789); the square of 4 021 789 is sometimes called "raising 4 021 789 to the power 2", or "4 021 789 squared".
The square of 4 021 789 is 16 174 786 760 521 because 4 021 789 × 4 021 789 = 4 021 7892 = 16 174 786 760 521.
As a consequence, 4 021 789 is the square root of 16 174 786 760 521.
The multiples of 4 021 789 are all integers evenly divisible by 4 021 789, that is all numbers such that the remainder of the division by 4 021 789 is zero. There are infinitely many multiples of 4 021 789. The smallest multiples of 4 021 789 are: