85916205 has 24 divisors (see below), whose sum is σ = 150722208. Its totient is φ = 45267936.

The previous prime is 85916191. The next prime is 85916227. The reversal of 85916205 is 50261958.

It is a happy number.

85916205 is a `hidden beast` number, since 8 + 591 + 62 + 0 + 5 = 666.

It is not a de Polignac number, because 85916205 - 2⁹ = 85915693 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85916205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7767 + ... + 15236.

It is an arithmetic number, because the mean of its divisors is an integer number (6280092).

Almost surely, 2^85916205 is an apocalyptic number.

It is an amenable number.

85916205 is a deficient number, since it is larger than the sum of its proper divisors (64806003).

85916205 is a wasteful number, since it uses less digits than its factorization.

85916205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23097 (or 23094 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 85916205 is about 9269.0994708224. The cubic root of 85916205 is about 441.2570885929.

The spelling of 85916205 in words is "eighty-five million, nine hundred sixteen thousand, two hundred five".