Is 97199821 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 97 199 821 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 97 199 821, the only two divisors are 1 and 97 199 821. Therefore 97 199 821 is a prime number.
As a consequence, 97 199 821 is only a multiple of 1 and 97 199 821.
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Since 97199821 is a prime number, 97199821 is also a deficient number, that is to say 97199821 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 97199821 without 97199821 itself (that is 1, by definition!).