82081836 has 120 divisors (see below), whose sum is σ = 227104416. Its totient is φ = 25816320.

The previous prime is 82081829. The next prime is 82081837. The reversal of 82081836 is 63818028.

It is a super-2 number, since 2×82081836² = 13474855602261792, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 82081836.

It is not an unprimeable number, because it can be changed into a prime (82081837) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 491425 + ... + 491591.

Almost surely, 2^82081836 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 82081836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113552208).

82081836 is an abundant number, since it is smaller than the sum of its proper divisors (145022580).

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

82081836 is a wasteful number, since it uses less digits than its factorization.

82081836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 82081836 is about 9059.9026484836. The cubic root of 82081836 is about 434.5926269418.

The spelling of 82081836 in words is "eighty-two million, eighty-one thousand, eight hundred thirty-six".