83205486 has 96 divisors (see below), whose sum is σ = 225039360. Its totient is φ = 21632832.

The previous prime is 83205481. The next prime is 83205509. The reversal of 83205486 is 68450238.

It is a self number, because there is not a number n which added to its sum of digits gives 83205486.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83205481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129081 + ... + 129723.

It is an arithmetic number, because the mean of its divisors is an integer number (2344160).

Almost surely, 2^83205486 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83205486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112519680).

83205486 is an abundant number, since it is smaller than the sum of its proper divisors (141833874).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83205486 is a wasteful number, since it uses less digits than its factorization.

83205486 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 83205486 is about 9121.7041171044. The cubic root of 83205486 is about 436.5667481760.

The spelling of 83205486 in words is "eighty-three million, two hundred five thousand, four hundred eighty-six".