82135884 has 48 divisors (see below), whose sum is σ = 197342208. Its totient is φ = 26575488.

The previous prime is 82135883. The next prime is 82135913. The reversal of 82135884 is 48853128.

It is a super-2 number, since 2×82135884² = 13492606880922912, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (82135883) 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 15 ways as a sum of consecutive naturals, for example, 76737 + ... + 77799.

It is an arithmetic number, because the mean of its divisors is an integer number (4111296).

Almost surely, 2^82135884 is an apocalyptic number.

It is an amenable number.

82135884 is an abundant number, since it is smaller than the sum of its proper divisors (115206324).

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

82135884 is a wasteful number, since it uses less digits than its factorization.

82135884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1252 counting only the distinct ones).

The product of its digits is 61440, while the sum is 39.

The square root of 82135884 is about 9062.8849711336. The cubic root of 82135884 is about 434.6879939958.

The spelling of 82135884 in words is "eighty-two million, one hundred thirty-five thousand, eight hundred eighty-four".