Is 97002721 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 97 002 721 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 97 002 721, the only two divisors are 1 and 97 002 721. Therefore 97 002 721 is a prime number.
As a consequence, 97 002 721 is only a multiple of 1 and 97 002 721.
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Since 97002721 is a prime number, 97002721 is also a deficient number, that is to say 97002721 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 97002721 without 97002721 itself (that is 1, by definition!).
