It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 19 742 is not a prime number.
For example, 19 742 can be divided by 2: 19 742 / 2 = 9 871.
For 19 742 to be a prime number, it would have been required that 19 742 has only two divisors, i.e., itself and 1.
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19 742 is an even number, because it is evenly divisible by 2: 19 742 / 2 = 9 871.
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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 19 742 is about 140.506.
Thus, the square root of 19 742 is not an integer, and therefore 19 742 is not a square number.
The square of a number (here 19 742) is the result of the product of this number (19 742) by itself (i.e., 19 742 × 19 742); the square of 19 742 is sometimes called "raising 19 742 to the power 2", or "19 742 squared".
The square of 19 742 is 389 746 564 because 19 742 × 19 742 = 19 7422 = 389 746 564.
As a consequence, 19 742 is the square root of 389 746 564.
The multiples of 19 742 are all integers evenly divisible by 19 742, that is all numbers such that the remainder of the division by 19 742 is zero. There are infinitely many multiples of 19 742. The smallest multiples of 19 742 are: