82205585 has 72 divisors (see below), whose sum is σ = 130999680. Its totient is φ = 49304640.

The previous prime is 82205561. The next prime is 82205587. The reversal of 82205585 is 58550228.

It is not a de Polignac number, because 82205585 - 2⁸ = 82205329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (82205587) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1393286 + ... + 1393344.

It is an arithmetic number, because the mean of its divisors is an integer number (1819440).

Almost surely, 2^82205585 is an apocalyptic number.

It is an amenable number.

82205585 is a deficient number, since it is larger than the sum of its proper divisors (48794095).

82205585 is a wasteful number, since it uses less digits than its factorization.

82205585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 35.

The square root of 82205585 is about 9066.7295647328. The cubic root of 82205585 is about 434.8109188370.

The spelling of 82205585 in words is "eighty-two million, two hundred five thousand, five hundred eighty-five".