85601625 has 64 divisors (see below), whose sum is σ = 149610240. Its totient is φ = 43430400.

The previous prime is 85601599. The next prime is 85601629. The reversal of 85601625 is 52610658.

It is not a de Polignac number, because 85601625 - 2¹⁰ = 85600601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85601629) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1172589 + ... + 1172661.

It is an arithmetic number, because the mean of its divisors is an integer number (2337660).

Almost surely, 2^85601625 is an apocalyptic number.

It is an amenable number.

85601625 is a deficient number, since it is larger than the sum of its proper divisors (64008615).

85601625 is a wasteful number, since it uses less digits than its factorization.

85601625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 85601625 is about 9252.1146231551. The cubic root of 85601625 is about 440.7178794196.

The spelling of 85601625 in words is "eighty-five million, six hundred one thousand, six hundred twenty-five".