85686705 has 48 divisors (see below), whose sum is σ = 162279936. Its totient is φ = 41569920.

The previous prime is 85686701. The next prime is 85686719. The reversal of 85686705 is 50768658.

It is not a de Polignac number, because 85686705 - 2² = 85686701 is a prime.

It is a super-2 number, since 2×85686705² = 14684422827514050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (85686701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40504 + ... + 42566.

It is an arithmetic number, because the mean of its divisors is an integer number (3380832).

Almost surely, 2^85686705 is an apocalyptic number.

It is an amenable number.

85686705 is a deficient number, since it is larger than the sum of its proper divisors (76593231).

85686705 is a wasteful number, since it uses less digits than its factorization.

85686705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 85686705 is about 9256.7113490699. The cubic root of 85686705 is about 440.8638418412.

The spelling of 85686705 in words is "eighty-five million, six hundred eighty-six thousand, seven hundred five".