82081835 has 16 divisors (see below), whose sum is σ = 107868672. Its totient is φ = 59464800.

The previous prime is 82081829. The next prime is 82081837. The reversal of 82081835 is 53818028.

It is not a de Polignac number, because 82081835 - 2⁸ = 82081579 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82081795 and 82081804.

It is not an unprimeable number, because it can be changed into a prime (82081837) 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, 12152 + ... + 17658.

It is an arithmetic number, because the mean of its divisors is an integer number (6741792).

Almost surely, 2^82081835 is an apocalyptic number.

82081835 is a deficient number, since it is larger than the sum of its proper divisors (25786837).

82081835 is a wasteful number, since it uses less digits than its factorization.

82081835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5794.

The product of its (nonzero) digits is 15360, while the sum is 35.

The square root of 82081835 is about 9059.9025932954. The cubic root of 82081835 is about 434.5926251769.

The spelling of 82081835 in words is "eighty-two million, eighty-one thousand, eight hundred thirty-five".