82395585 has 12 divisors (see below), whose sum is σ = 142819092. Its totient is φ = 43944288.

The previous prime is 82395581. The next prime is 82395587. The reversal of 82395585 is 58559328.

It can be written as a sum of positive squares in 2 ways, for example, as 40870449 + 41525136 = 6393^2 + 6444^2 .

It is not a de Polignac number, because 82395585 - 2² = 82395581 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 1831013 = 82395585 / (8 + 2 + 3 + 9 + 5 + 5 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 82395585.

It is not an unprimeable number, because it can be changed into a prime (82395581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 915462 + ... + 915551.

It is an arithmetic number, because the mean of its divisors is an integer number (11901591).

Almost surely, 2^82395585 is an apocalyptic number.

It is an amenable number.

82395585 is a deficient number, since it is larger than the sum of its proper divisors (60423507).

82395585 is a wasteful number, since it uses less digits than its factorization.

82395585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831024 (or 1831021 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The square root of 82395585 is about 9077.2013858898. The cubic root of 82395585 is about 435.1456507904.

It can be divided in two parts, 8239 and 5585, that added together give a cube (13824 = 24³).

The spelling of 82395585 in words is "eighty-two million, three hundred ninety-five thousand, five hundred eighty-five".