85165011 has 24 divisors (see below), whose sum is σ = 131947920. Its totient is φ = 52767936.

The previous prime is 85165007. The next prime is 85165013. The reversal of 85165011 is 11056158.

85165011 is a `hidden beast` number, since 8 + 5 + 1 + 650 + 1 + 1 = 666.

It is not a de Polignac number, because 85165011 - 2² = 85165007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85165013) 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 23 ways as a sum of consecutive naturals, for example, 4365 + ... + 13761.

It is an arithmetic number, because the mean of its divisors is an integer number (5497830).

Almost surely, 2^85165011 is an apocalyptic number.

85165011 is a deficient number, since it is larger than the sum of its proper divisors (46782909).

85165011 is a wasteful number, since it uses less digits than its factorization.

85165011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9475 (or 9472 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The square root of 85165011 is about 9228.4890962714. The cubic root of 85165011 is about 439.9673030111.

The spelling of 85165011 in words is "eighty-five million, one hundred sixty-five thousand, eleven".