It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 1 689 126 is not a prime number.
For example, 1 689 126 can be divided by 2: 1 689 126 / 2 = 844 563.
For 1 689 126 to be a prime number, it would have been required that 1 689 126 has only two divisors, i.e., itself and 1.
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1 689 126 is an even number, because it is evenly divisible by 2: 1 689 126 / 2 = 844 563.
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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 1 689 126 is about 1 299.664.
Thus, the square root of 1 689 126 is not an integer, and therefore 1 689 126 is not a square number.
The square of a number (here 1 689 126) is the result of the product of this number (1 689 126) by itself (i.e., 1 689 126 × 1 689 126); the square of 1 689 126 is sometimes called "raising 1 689 126 to the power 2", or "1 689 126 squared".
The square of 1 689 126 is 2 853 146 643 876 because 1 689 126 × 1 689 126 = 1 689 1262 = 2 853 146 643 876.
As a consequence, 1 689 126 is the square root of 2 853 146 643 876.
The multiples of 1 689 126 are all integers evenly divisible by 1 689 126, that is all numbers such that the remainder of the division by 1 689 126 is zero. There are infinitely many multiples of 1 689 126. The smallest multiples of 1 689 126 are: