Is 97037609 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 97 037 609 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 97 037 609, the only two divisors are 1 and 97 037 609. Therefore 97 037 609 is a prime number.
As a consequence, 97 037 609 is only a multiple of 1 and 97 037 609.
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Since 97037609 is a prime number, 97037609 is also a deficient number, that is to say 97037609 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 97037609 without 97037609 itself (that is 1, by definition!).
