Is 97129397 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 97 129 397 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 97 129 397, the only two divisors are 1 and 97 129 397. Therefore 97 129 397 is a prime number.
As a consequence, 97 129 397 is only a multiple of 1 and 97 129 397.
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Since 97129397 is a prime number, 97129397 is also a deficient number, that is to say 97129397 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 97129397 without 97129397 itself (that is 1, by definition!).
