Is 97731229 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 97 731 229 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 97 731 229, the only two divisors are 1 and 97 731 229. Therefore 97 731 229 is a prime number.
As a consequence, 97 731 229 is only a multiple of 1 and 97 731 229.
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Since 97731229 is a prime number, 97731229 is also a deficient number, that is to say 97731229 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 97731229 without 97731229 itself (that is 1, by definition!).