It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 137 223 721 is not a prime number.
For example, 137 223 721 can be divided by 73: 137 223 721 / 73 = 1 879 777.
For 137 223 721 to be a prime number, it would have been required that 137 223 721 has only two divisors, i.e., itself and 1.
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137 223 721 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 137 223 721 is about 11 714.253.
Thus, the square root of 137 223 721 is not an integer, and therefore 137 223 721 is not a square number.
The square of a number (here 137 223 721) is the result of the product of this number (137 223 721) by itself (i.e., 137 223 721 × 137 223 721); the square of 137 223 721 is sometimes called "raising 137 223 721 to the power 2", or "137 223 721 squared".
The square of 137 223 721 is 18 830 349 605 085 840 because 137 223 721 × 137 223 721 = 137 223 7212 = 18 830 349 605 085 840.
As a consequence, 137 223 721 is the square root of 18 830 349 605 085 840.
137 223 721 is a number with 9 digits.
The multiples of 137 223 721 are all integers evenly divisible by 137 223 721, that is all numbers such that the remainder of the division by 137 223 721 is zero. There are infinitely many multiples of 137 223 721. The smallest multiples of 137 223 721 are: