It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 38 221 is not a prime number.
For example, 38 221 can be divided by 37: 38 221 / 37 = 1 033.
For 38 221 to be a prime number, it would have been required that 38 221 has only two divisors, i.e., itself and 1.
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38 221 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 38 221 is about 195.502.
Thus, the square root of 38 221 is not an integer, and therefore 38 221 is not a square number.
The square of a number (here 38 221) is the result of the product of this number (38 221) by itself (i.e., 38 221 × 38 221); the square of 38 221 is sometimes called "raising 38 221 to the power 2", or "38 221 squared".
The square of 38 221 is 1 460 844 841 because 38 221 × 38 221 = 38 2212 = 1 460 844 841.
As a consequence, 38 221 is the square root of 1 460 844 841.
The multiples of 38 221 are all integers evenly divisible by 38 221, that is all numbers such that the remainder of the division by 38 221 is zero. There are infinitely many multiples of 38 221. The smallest multiples of 38 221 are: