It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 209 138 is not a prime number.
For example, 209 138 can be divided by 2: 209 138 / 2 = 104 569.
For 209 138 to be a prime number, it would have been required that 209 138 has only two divisors, i.e., itself and 1.
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209 138 is an even number, because it is evenly divisible by 2: 209 138 / 2 = 104 569.
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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 209 138 is about 457.316.
Thus, the square root of 209 138 is not an integer, and therefore 209 138 is not a square number.
The square of a number (here 209 138) is the result of the product of this number (209 138) by itself (i.e., 209 138 × 209 138); the square of 209 138 is sometimes called "raising 209 138 to the power 2", or "209 138 squared".
The square of 209 138 is 43 738 703 044 because 209 138 × 209 138 = 209 1382 = 43 738 703 044.
As a consequence, 209 138 is the square root of 43 738 703 044.
The multiples of 209 138 are all integers evenly divisible by 209 138, that is all numbers such that the remainder of the division by 209 138 is zero. There are infinitely many multiples of 209 138. The smallest multiples of 209 138 are: