It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 382 829 is not a prime number.
For example, 382 829 can be divided by 29: 382 829 / 29 = 13 201.
For 382 829 to be a prime number, it would have been required that 382 829 has only two divisors, i.e., itself and 1.
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382 829 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 382 829 is about 618.732.
Thus, the square root of 382 829 is not an integer, and therefore 382 829 is not a square number.
The square of a number (here 382 829) is the result of the product of this number (382 829) by itself (i.e., 382 829 × 382 829); the square of 382 829 is sometimes called "raising 382 829 to the power 2", or "382 829 squared".
The square of 382 829 is 146 558 043 241 because 382 829 × 382 829 = 382 8292 = 146 558 043 241.
As a consequence, 382 829 is the square root of 146 558 043 241.
The multiples of 382 829 are all integers evenly divisible by 382 829, that is all numbers such that the remainder of the division by 382 829 is zero. There are infinitely many multiples of 382 829. The smallest multiples of 382 829 are: