82085679 has 24 divisors (see below), whose sum is σ = 129139920. Its totient is φ = 49940352.

The previous prime is 82085671. The next prime is 82085693. The reversal of 82085679 is 97658028.

82085679 is a `hidden beast` number, since 82 + 0 + 8 + 567 + 9 = 666.

It is not a de Polignac number, because 82085679 - 2³ = 82085671 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82085671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6472 + ... + 14354.

It is an arithmetic number, because the mean of its divisors is an integer number (5380830).

Almost surely, 2^82085679 is an apocalyptic number.

82085679 is a gapful number since it is divisible by the number (89) formed by its first and last digit.

82085679 is a deficient number, since it is larger than the sum of its proper divisors (47054241).

82085679 is a wasteful number, since it uses less digits than its factorization.

82085679 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7991 (or 7988 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 82085679 is about 9060.1147343728. The cubic root of 82085679 is about 434.5994092519.

The spelling of 82085679 in words is "eighty-two million, eighty-five thousand, six hundred seventy-nine".