85200116 has 6 divisors (see below), whose sum is σ = 149100210. Its totient is φ = 42600056.

The previous prime is 85200113. The next prime is 85200149. The reversal of 85200116 is 61100258.

It can be written as a sum of positive squares in only one way, i.e., 82810000 + 2390116 = 9100^2 + 1546^2 .

It is a junction number, because it is equal to n+sod(n) for n = 85200091 and 85200100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85200113) 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 as a sum of consecutive naturals, namely, 10650011 + ... + 10650018.

It is an arithmetic number, because the mean of its divisors is an integer number (24850035).

Almost surely, 2^85200116 is an apocalyptic number.

It is an amenable number.

85200116 is a deficient number, since it is larger than the sum of its proper divisors (63900094).

85200116 is a wasteful number, since it uses less digits than its factorization.

85200116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21300033 (or 21300031 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 85200116 is about 9230.3908909645. The cubic root of 85200116 is about 440.0277461842.

The spelling of 85200116 in words is "eighty-five million, two hundred thousand, one hundred sixteen".