It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 212 214 is not a prime number.
For example, 212 214 can be divided by 2: 212 214 / 2 = 106 107.
For 212 214 to be a prime number, it would have been required that 212 214 has only two divisors, i.e., itself and 1.
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212 214 is an even number, because it is evenly divisible by 2: 212 214 / 2 = 106 107.
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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 212 214 is about 460.667.
Thus, the square root of 212 214 is not an integer, and therefore 212 214 is not a square number.
The square of a number (here 212 214) is the result of the product of this number (212 214) by itself (i.e., 212 214 × 212 214); the square of 212 214 is sometimes called "raising 212 214 to the power 2", or "212 214 squared".
The square of 212 214 is 45 034 781 796 because 212 214 × 212 214 = 212 2142 = 45 034 781 796.
As a consequence, 212 214 is the square root of 45 034 781 796.
The multiples of 212 214 are all integers evenly divisible by 212 214, that is all numbers such that the remainder of the division by 212 214 is zero. There are infinitely many multiples of 212 214. The smallest multiples of 212 214 are: