It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 1 689 is not a prime number.
For example, 1 689 can be divided by 3: 1 689 / 3 = 563.
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For 1 689 to be a prime number, it would have been required that 1 689 has only two divisors, i.e., itself and 1.
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1 689 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 1 689 is about 41.097.
Thus, the square root of 1 689 is not an integer, and therefore 1 689 is not a square number.
The square of a number (here 1 689) is the result of the product of this number (1 689) by itself (i.e., 1 689 × 1 689); the square of 1 689 is sometimes called "raising 1 689 to the power 2", or "1 689 squared".
The square of 1 689 is 2 852 721 because 1 689 × 1 689 = 1 6892 = 2 852 721.
The multiples of 1 689 are all integers evenly divisible by 1 689, that is all numbers such that the remainder of the division by 1 689 is zero. There are infinitely many multiples of 1 689. The smallest multiples of 1 689 are: