85664167 has 8 divisors (see below), whose sum is σ = 90095616. Its totient is φ = 81291672.

The previous prime is 85664149. The next prime is 85664177. The reversal of 85664167 is 76146658.

It is a happy number.

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 85664167 - 2²³ = 77275559 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 (85664177) 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 7 ways as a sum of consecutive naturals, for example, 11743 + ... + 17584.

It is an arithmetic number, because the mean of its divisors is an integer number (11261952).

Almost surely, 2^85664167 is an apocalyptic number.

85664167 is a deficient number, since it is larger than the sum of its proper divisors (4431449).

85664167 is a wasteful number, since it uses less digits than its factorization.

85664167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29477.

The product of its digits is 241920, while the sum is 43.

The square root of 85664167 is about 9255.4938820141. The cubic root of 85664167 is about 440.8251852781.

The spelling of 85664167 in words is "eighty-five million, six hundred sixty-four thousand, one hundred sixty-seven".