It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 697 is not a prime number.
For example, 138 697 can be divided by 13: 138 697 / 13 = 10 669.
For 138 697 to be a prime number, it would have been required that 138 697 has only two divisors, i.e., itself and 1.
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138 697 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 138 697 is about 372.420.
Thus, the square root of 138 697 is not an integer, and therefore 138 697 is not a square number.
The square of a number (here 138 697) is the result of the product of this number (138 697) by itself (i.e., 138 697 × 138 697); the square of 138 697 is sometimes called "raising 138 697 to the power 2", or "138 697 squared".
The square of 138 697 is 19 236 857 809 because 138 697 × 138 697 = 138 6972 = 19 236 857 809.
As a consequence, 138 697 is the square root of 19 236 857 809.
The multiples of 138 697 are all integers evenly divisible by 138 697, that is all numbers such that the remainder of the division by 138 697 is zero. There are infinitely many multiples of 138 697. The smallest multiples of 138 697 are: