85305633 has 16 divisors (see below), whose sum is σ = 132122496. Its totient is φ = 47946240.

The previous prime is 85305607. The next prime is 85305637. The reversal of 85305633 is 33650358.

It is not a de Polignac number, because 85305633 - 2⁵ = 85305601 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 85305594 and 85305603.

It is not an unprimeable number, because it can be changed into a prime (85305637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32016 + ... + 34577.

It is an arithmetic number, because the mean of its divisors is an integer number (8257656).

Almost surely, 2^85305633 is an apocalyptic number.

It is an amenable number.

85305633 is a deficient number, since it is larger than the sum of its proper divisors (46816863).

85305633 is a wasteful number, since it uses less digits than its factorization.

85305633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66664.

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 85305633 is about 9236.1048608166. The cubic root of 85305633 is about 440.2093236109.

The spelling of 85305633 in words is "eighty-five million, three hundred five thousand, six hundred thirty-three".