Is 82821359 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 82 821 359 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 82 821 359, the only two divisors are 1 and 82 821 359. Therefore 82 821 359 is a prime number.
As a consequence, 82 821 359 is only a multiple of 1 and 82 821 359.
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Since 82821359 is a prime number, 82821359 is also a deficient number, that is to say 82821359 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 82821359 without 82821359 itself (that is 1, by definition!).