It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 472 201 is not a prime number.
For example, 472 201 can be divided by 61: 472 201 / 61 = 7 741.
For 472 201 to be a prime number, it would have been required that 472 201 has only two divisors, i.e., itself and 1.
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472 201 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 472 201 is about 687.169.
Thus, the square root of 472 201 is not an integer, and therefore 472 201 is not a square number.
The square of a number (here 472 201) is the result of the product of this number (472 201) by itself (i.e., 472 201 × 472 201); the square of 472 201 is sometimes called "raising 472 201 to the power 2", or "472 201 squared".
The square of 472 201 is 222 973 784 401 because 472 201 × 472 201 = 472 2012 = 222 973 784 401.
As a consequence, 472 201 is the square root of 222 973 784 401.
The multiples of 472 201 are all integers evenly divisible by 472 201, that is all numbers such that the remainder of the division by 472 201 is zero. There are infinitely many multiples of 472 201. The smallest multiples of 472 201 are: