85201585 has 16 divisors (see below), whose sum is σ = 118452096. Its totient is φ = 57621888.

The previous prime is 85201583. The next prime is 85201601. The reversal of 85201585 is 58510258.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 85201585 - 2¹ = 85201583 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85201585.

It is not an unprimeable number, because it can be changed into a prime (85201583) 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, 14119 + ... + 19228.

It is an arithmetic number, because the mean of its divisors is an integer number (7403256).

Almost surely, 2^85201585 is an apocalyptic number.

It is an amenable number.

85201585 is a deficient number, since it is larger than the sum of its proper divisors (33250511).

85201585 is a wasteful number, since it uses less digits than its factorization.

85201585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33432.

The product of its (nonzero) digits is 16000, while the sum is 34.

The square root of 85201585 is about 9230.4704647163. The cubic root of 85201585 is about 440.0302751207.

The spelling of 85201585 in words is "eighty-five million, two hundred one thousand, five hundred eighty-five".