82085289 has 16 divisors (see below), whose sum is σ = 128581824. Its totient is φ = 45921600.

The previous prime is 82085273. The next prime is 82085291. The reversal of 82085289 is 98258028.

It is not a de Polignac number, because 82085289 - 2⁴ = 82085273 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 82085289.

It is not an unprimeable number, because it can be changed into a prime (82085209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95242 + ... + 96099.

It is an arithmetic number, because the mean of its divisors is an integer number (8036364).

Almost surely, 2^82085289 is an apocalyptic number.

It is an amenable number.

82085289 is a deficient number, since it is larger than the sum of its proper divisors (46496535).

82085289 is a wasteful number, since it uses less digits than its factorization.

82085289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191368.

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 82085289 is about 9060.0932114410. The cubic root of 82085289 is about 434.5987209709.

The spelling of 82085289 in words is "eighty-two million, eighty-five thousand, two hundred eighty-nine".