Is 165729227 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 165 729 227 is a prime number.
Indeed, the definition of a prime numbers is to have exactly two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 165 729 227, the only two divisors are 1 and 165 729 227. Therefore 165 729 227 is a prime number.
As a consequence, 165 729 227 is only a multiple of 1 and 165 729 227.
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Since 165729227 is a prime number, 165729227 is also a deficient number, that is to say 165729227 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 165729227 without 165729227 itself (that is 1, by definition!).