Is 97648013 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 97 648 013 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 97 648 013, the only two divisors are 1 and 97 648 013. Therefore 97 648 013 is a prime number.
As a consequence, 97 648 013 is only a multiple of 1 and 97 648 013.
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Since 97648013 is a prime number, 97648013 is also a deficient number, that is to say 97648013 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 97648013 without 97648013 itself (that is 1, by definition!).