It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 212 009 is not a prime number.
For example, 212 009 can be divided by 7: 212 009 / 7 = 30 287.
For 212 009 to be a prime number, it would have been required that 212 009 has only two divisors, i.e., itself and 1.
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212 009 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 212 009 is about 460.444.
Thus, the square root of 212 009 is not an integer, and therefore 212 009 is not a square number.
The square of a number (here 212 009) is the result of the product of this number (212 009) by itself (i.e., 212 009 × 212 009); the square of 212 009 is sometimes called "raising 212 009 to the power 2", or "212 009 squared".
The square of 212 009 is 44 947 816 081 because 212 009 × 212 009 = 212 0092 = 44 947 816 081.
As a consequence, 212 009 is the square root of 44 947 816 081.
The multiples of 212 009 are all integers evenly divisible by 212 009, that is all numbers such that the remainder of the division by 212 009 is zero. There are infinitely many multiples of 212 009. The smallest multiples of 212 009 are: