82638585 has 12 divisors (see below), whose sum is σ = 143240292. Its totient is φ = 44073888.

The previous prime is 82638583. The next prime is 82638613. The reversal of 82638585 is 58583628.

It is a happy number.

82638585 is a `hidden beast` number, since 8 + 2 + 63 + 8 + 585 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45805824 + 36832761 = 6768^2 + 6069^2 .

It is not a de Polignac number, because 82638585 - 2¹ = 82638583 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: 1836413 = 82638585 / (8 + 2 + 6 + 3 + 8 + 5 + 8 + 5).

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 82638585.

It is not an unprimeable number, because it can be changed into a prime (82638583) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 918162 + ... + 918251.

It is an arithmetic number, because the mean of its divisors is an integer number (11936691).

Almost surely, 2^82638585 is an apocalyptic number.

It is an amenable number.

82638585 is a deficient number, since it is larger than the sum of its proper divisors (60601707).

82638585 is a wasteful number, since it uses less digits than its factorization.

82638585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836424 (or 1836421 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 82638585 is about 9090.5767143785. The cubic root of 82638585 is about 435.5730062679.

The spelling of 82638585 in words is "eighty-two million, six hundred thirty-eight thousand, five hundred eighty-five".