85686125 has 16 divisors (see below), whose sum is σ = 122214144. Its totient is φ = 58755600.

The previous prime is 85686121. The next prime is 85686127. The reversal of 85686125 is 52168658.

It is not a de Polignac number, because 85686125 - 2² = 85686121 is a prime.

It is a super-2 number, since 2×85686125² = 14684224035031250, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85686121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48089 + ... + 49838.

It is an arithmetic number, because the mean of its divisors is an integer number (7638384).

Almost surely, 2^85686125 is an apocalyptic number.

It is an amenable number.

85686125 is a deficient number, since it is larger than the sum of its proper divisors (36528019).

85686125 is an equidigital number, since it uses as much as digits as its factorization.

85686125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97949 (or 97939 counting only the distinct ones).

The product of its digits is 115200, while the sum is 41.

The square root of 85686125 is about 9256.6800203961. The cubic root of 85686125 is about 440.8628471260.

The spelling of 85686125 in words is "eighty-five million, six hundred eighty-six thousand, one hundred twenty-five".