It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 38 023 is not a prime number.
For example, 38 023 can be divided by 47: 38 023 / 47 = 809.
For 38 023 to be a prime number, it would have been required that 38 023 has only two divisors, i.e., itself and 1.
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38 023 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 38 023 is about 194.995.
Thus, the square root of 38 023 is not an integer, and therefore 38 023 is not a square number.
The square of a number (here 38 023) is the result of the product of this number (38 023) by itself (i.e., 38 023 × 38 023); the square of 38 023 is sometimes called "raising 38 023 to the power 2", or "38 023 squared".
The square of 38 023 is 1 445 748 529 because 38 023 × 38 023 = 38 0232 = 1 445 748 529.
As a consequence, 38 023 is the square root of 1 445 748 529.
The multiples of 38 023 are all integers evenly divisible by 38 023, that is all numbers such that the remainder of the division by 38 023 is zero. There are infinitely many multiples of 38 023. The smallest multiples of 38 023 are: