It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 212 738 is not a prime number.
For example, 212 738 can be divided by 2: 212 738 / 2 = 106 369.
For 212 738 to be a prime number, it would have been required that 212 738 has only two divisors, i.e., itself and 1.
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212 738 is an even number, because it is evenly divisible by 2: 212 738 / 2 = 106 369.
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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 212 738 is about 461.235.
Thus, the square root of 212 738 is not an integer, and therefore 212 738 is not a square number.
The square of a number (here 212 738) is the result of the product of this number (212 738) by itself (i.e., 212 738 × 212 738); the square of 212 738 is sometimes called "raising 212 738 to the power 2", or "212 738 squared".
The square of 212 738 is 45 257 456 644 because 212 738 × 212 738 = 212 7382 = 45 257 456 644.
As a consequence, 212 738 is the square root of 45 257 456 644.
The multiples of 212 738 are all integers evenly divisible by 212 738, that is all numbers such that the remainder of the division by 212 738 is zero. There are infinitely many multiples of 212 738. The smallest multiples of 212 738 are: