82393585 has 16 divisors (see below), whose sum is σ = 102502656. Its totient is φ = 63537408.

The previous prime is 82393529. The next prime is 82393589. The reversal of 82393585 is 58539328.

It is a cyclic number.

It is not a de Polignac number, because 82393585 - 2⁷ = 82393457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82393589) 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, 13129 + ... + 18361.

It is an arithmetic number, because the mean of its divisors is an integer number (6406416).

Almost surely, 2^82393585 is an apocalyptic number.

It is an amenable number.

82393585 is a deficient number, since it is larger than the sum of its proper divisors (20109071).

82393585 is a wasteful number, since it uses less digits than its factorization.

82393585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5352.

The product of its digits is 259200, while the sum is 43.

The square root of 82393585 is about 9077.0912191076. The cubic root of 82393585 is about 435.1421299774.

The spelling of 82393585 in words is "eighty-two million, three hundred ninety-three thousand, five hundred eighty-five".