Is 83649329 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 83 649 329 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 83 649 329, the only two divisors are 1 and 83 649 329. Therefore 83 649 329 is a prime number.
As a consequence, 83 649 329 is only a multiple of 1 and 83 649 329.
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Since 83649329 is a prime number, 83649329 is also a deficient number, that is to say 83649329 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 83649329 without 83649329 itself (that is 1, by definition!).