Is 83875829 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 83 875 829 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 83 875 829, the only two divisors are 1 and 83 875 829. Therefore 83 875 829 is a prime number.
As a consequence, 83 875 829 is only a multiple of 1 and 83 875 829.
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Since 83875829 is a prime number, 83875829 is also a deficient number, that is to say 83875829 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 83875829 without 83875829 itself (that is 1, by definition!).