It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 421 201 is not a prime number.
For example, 421 201 can be divided by 11: 421 201 / 11 = 38 291.
For 421 201 to be a prime number, it would have been required that 421 201 has only two divisors, i.e., itself and 1.
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421 201 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 421 201 is 649.
Therefore, the square root of 421 201 is an integer, and as a consequence 421 201 is a perfect square.
The square of a number (here 421 201) is the result of the product of this number (421 201) by itself (i.e., 421 201 × 421 201); the square of 421 201 is sometimes called "raising 421 201 to the power 2", or "421 201 squared".
The square of 421 201 is 177 410 282 401 because 421 201 × 421 201 = 421 2012 = 177 410 282 401.
As a consequence, 421 201 is the square root of 177 410 282 401.
The multiples of 421 201 are all integers evenly divisible by 421 201, that is all numbers such that the remainder of the division by 421 201 is zero. There are infinitely many multiples of 421 201. The smallest multiples of 421 201 are: