82911136 has 216 divisors, whose sum is σ = 229249440. Its totient is φ = 29272320.

The previous prime is 82911131. The next prime is 82911163. The reversal of 82911136 is 63111928.

It is a junction number, because it is equal to n+sod(n) for n = 82911098 and 82911107.

It is not an unprimeable number, because it can be changed into a prime (82911131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3604821 + ... + 3604843.

It is an arithmetic number, because the mean of its divisors is an integer number (1061340).

Almost surely, 2^82911136 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 82911136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114624720).

82911136 is an abundant number, since it is smaller than the sum of its proper divisors (146338304).

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

82911136 is a wasteful number, since it uses less digits than its factorization.

82911136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 62 counting only the distinct ones).

The product of its digits is 2592, while the sum is 31.

The square root of 82911136 is about 9105.5552274422. Note that the first 3 decimals coincide. The cubic root of 82911136 is about 436.0513364348.

The spelling of 82911136 in words is "eighty-two million, nine hundred eleven thousand, one hundred thirty-six".