2585205 has 48 divisors (see below), whose sum is σ = 5316480. Its totient is φ = 1137024.

The previous prime is 2585179. The next prime is 2585237. The reversal of 2585205 is 5025852.

It is not a de Polignac number, because 2585205 - 2⁸ = 2584949 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8994 + ... + 9276.

It is an arithmetic number, because the mean of its divisors is an integer number (110760).

2^2585205 is an apocalyptic number.

It is an amenable number.

2585205 is an abundant number, since it is smaller than the sum of its proper divisors (2731275).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2585205 is a wasteful number, since it uses less digits than its factorization.

2585205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 2585205 is about 1607.8572697849. The cubic root of 2585205 is about 137.2455680534.

It can be divided in two parts, 2585 and 205, that multiplied together give a palindrome (529925).

The spelling of 2585205 in words is "two million, five hundred eighty-five thousand, two hundred five".