85164157 has 8 divisors (see below), whose sum is σ = 92662136. Its totient is φ = 77801472.

The previous prime is 85164143. The next prime is 85164181. The reversal of 85164157 is 75146158.

It can be written as a sum of positive squares in 4 ways, for example, as 910116 + 84254041 = 954^2 + 9179^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 85164157 - 2⁷ = 85164029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85164127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32508 + ... + 35029.

It is an arithmetic number, because the mean of its divisors is an integer number (11582767).

Almost surely, 2^85164157 is an apocalyptic number.

It is an amenable number.

85164157 is a deficient number, since it is larger than the sum of its proper divisors (7497979).

85164157 is a wasteful number, since it uses less digits than its factorization.

85164157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67647.

The product of its digits is 33600, while the sum is 37.

The square root of 85164157 is about 9228.4428263928. The cubic root of 85164157 is about 439.9658324019.

The spelling of 85164157 in words is "eighty-five million, one hundred sixty-four thousand, one hundred fifty-seven".