Is 97130329 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 97 130 329 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 97 130 329, the only two divisors are 1 and 97 130 329. Therefore 97 130 329 is a prime number.
As a consequence, 97 130 329 is only a multiple of 1 and 97 130 329.
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Since 97130329 is a prime number, 97130329 is also a deficient number, that is to say 97130329 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 97130329 without 97130329 itself (that is 1, by definition!).