85165773 has 48 divisors (see below), whose sum is σ = 148838400. Its totient is φ = 42789600.

The previous prime is 85165763. The next prime is 85165781. The reversal of 85165773 is 37756158.

It is not a de Polignac number, because 85165773 - 2⁵ = 85165741 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85165723) 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 47 ways as a sum of consecutive naturals, for example, 49278 + ... + 50976.

It is an arithmetic number, because the mean of its divisors is an integer number (3100800).

Almost surely, 2^85165773 is an apocalyptic number.

It is an amenable number.

85165773 is a deficient number, since it is larger than the sum of its proper divisors (63672627).

85165773 is a wasteful number, since it uses less digits than its factorization.

85165773 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 1751 counting only the distinct ones).

The product of its digits is 176400, while the sum is 42.

The square root of 85165773 is about 9228.5303813771. The cubic root of 85165773 is about 439.9686151856.

The spelling of 85165773 in words is "eighty-five million, one hundred sixty-five thousand, seven hundred seventy-three".