It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 9 648 601 is not a prime number.
For example, 9 648 601 can be divided by 37: 9 648 601 / 37 = 260 773.
For 9 648 601 to be a prime number, it would have been required that 9 648 601 has only two divisors, i.e., itself and 1.
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9 648 601 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 9 648 601 is about 3 106.220.
Thus, the square root of 9 648 601 is not an integer, and therefore 9 648 601 is not a square number.
The square of a number (here 9 648 601) is the result of the product of this number (9 648 601) by itself (i.e., 9 648 601 × 9 648 601); the square of 9 648 601 is sometimes called "raising 9 648 601 to the power 2", or "9 648 601 squared".
The square of 9 648 601 is 93 095 501 257 201 because 9 648 601 × 9 648 601 = 9 648 6012 = 93 095 501 257 201.
As a consequence, 9 648 601 is the square root of 93 095 501 257 201.
The multiples of 9 648 601 are all integers evenly divisible by 9 648 601, that is all numbers such that the remainder of the division by 9 648 601 is zero. There are infinitely many multiples of 9 648 601. The smallest multiples of 9 648 601 are: