82099116 has 96 divisors (see below), whose sum is σ = 240307200. Its totient is φ = 24010560.

The previous prime is 82099111. The next prime is 82099123. The reversal of 82099116 is 61199028.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (82099111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33261 + ... + 35643.

It is an arithmetic number, because the mean of its divisors is an integer number (2503200).

Almost surely, 2^82099116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82099116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120153600).

82099116 is an abundant number, since it is smaller than the sum of its proper divisors (158208084).

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

82099116 is a wasteful number, since it uses less digits than its factorization.

82099116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 82099116 is about 9060.8562509290. The cubic root of 82099116 is about 434.6231218480.

It can be divided in two parts, 82099 and 116, that added together give a triangular number (82215 = T₄₀₅).

The spelling of 82099116 in words is "eighty-two million, ninety-nine thousand, one hundred sixteen".