85935801 has 32 divisors (see below), whose sum is σ = 136350720. Its totient is φ = 47121984.

The previous prime is 85935791. The next prime is 85935809. The reversal of 85935801 is 10853958.

It is not a de Polignac number, because 85935801 - 2¹⁵ = 85903033 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85935801.

It is not an unprimeable number, because it can be changed into a prime (85935809) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52471 + ... + 54083.

It is an arithmetic number, because the mean of its divisors is an integer number (4260960).

Almost surely, 2^85935801 is an apocalyptic number.

It is an amenable number.

85935801 is a deficient number, since it is larger than the sum of its proper divisors (50414919).

85935801 is a wasteful number, since it uses less digits than its factorization.

85935801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725.

The product of its (nonzero) digits is 43200, while the sum is 39.

The square root of 85935801 is about 9270.1564711713. The cubic root of 85935801 is about 441.2906337454.

It can be divided in two parts, 85935 and 801, that added together give a triangular number (86736 = T₄₁₆).

The spelling of 85935801 in words is "eighty-five million, nine hundred thirty-five thousand, eight hundred one".