It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 3 689 is not a prime number.
For example, 3 689 can be divided by 7: 3 689 / 7 = 527.
For 3 689 to be a prime number, it would have been required that 3 689 has only two divisors, i.e., itself and 1.
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3 689 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 3 689 is about 60.737.
Thus, the square root of 3 689 is not an integer, and therefore 3 689 is not a square number.
The square of a number (here 3 689) is the result of the product of this number (3 689) by itself (i.e., 3 689 × 3 689); the square of 3 689 is sometimes called "raising 3 689 to the power 2", or "3 689 squared".
The square of 3 689 is 13 608 721 because 3 689 × 3 689 = 3 6892 = 13 608 721.
As a consequence, 3 689 is the square root of 13 608 721.
The multiples of 3 689 are all integers evenly divisible by 3 689, that is all numbers such that the remainder of the division by 3 689 is zero. There are infinitely many multiples of 3 689. The smallest multiples of 3 689 are: