Is 97113167 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 97 113 167 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 97 113 167, the only two divisors are 1 and 97 113 167. Therefore 97 113 167 is a prime number.
As a consequence, 97 113 167 is only a multiple of 1 and 97 113 167.
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Since 97113167 is a prime number, 97113167 is also a deficient number, that is to say 97113167 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 97113167 without 97113167 itself (that is 1, by definition!).