85985103 has 16 divisors (see below), whose sum is σ = 118895616. Its totient is φ = 55216320.

The previous prime is 85985083. The next prime is 85985111. The reversal of 85985103 is 30158958.

It is not a de Polignac number, because 85985103 - 2⁵ = 85985071 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85985113) 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, 19075 + ... + 23147.

It is an arithmetic number, because the mean of its divisors is an integer number (7430976).

Almost surely, 2^85985103 is an apocalyptic number.

85985103 is a deficient number, since it is larger than the sum of its proper divisors (32910513).

85985103 is a wasteful number, since it uses less digits than its factorization.

85985103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4334.

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

The square root of 85985103 is about 9272.8152682991. The cubic root of 85985103 is about 441.3750081709.

The spelling of 85985103 in words is "eighty-five million, nine hundred eighty-five thousand, one hundred three".