It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 208 209 is not a prime number.
For example, 208 209 can be divided by 3: 208 209 / 3 = 69 403.
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For 208 209 to be a prime number, it would have been required that 208 209 has only two divisors, i.e., itself and 1.
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208 209 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 208 209 is about 456.299.
Thus, the square root of 208 209 is not an integer, and therefore 208 209 is not a square number.
The square of a number (here 208 209) is the result of the product of this number (208 209) by itself (i.e., 208 209 × 208 209); the square of 208 209 is sometimes called "raising 208 209 to the power 2", or "208 209 squared".
The square of 208 209 is 43 350 987 681 because 208 209 × 208 209 = 208 2092 = 43 350 987 681.
As a consequence, 208 209 is the square root of 43 350 987 681.
The multiples of 208 209 are all integers evenly divisible by 208 209, that is all numbers such that the remainder of the division by 208 209 is zero. There are infinitely many multiples of 208 209. The smallest multiples of 208 209 are: