85164567 has 8 divisors (see below), whose sum is σ = 113601024. Its totient is φ = 56752248.

The previous prime is 85164559. The next prime is 85164581. The reversal of 85164567 is 76546158.

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

It is not a de Polignac number, because 85164567 - 2³ = 85164559 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85164767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5178 + ... + 14040.

It is an arithmetic number, because the mean of its divisors is an integer number (14200128).

Almost surely, 2^85164567 is an apocalyptic number.

85164567 is a deficient number, since it is larger than the sum of its proper divisors (28436457).

85164567 is a wasteful number, since it uses less digits than its factorization.

85164567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12069.

The product of its digits is 201600, while the sum is 42.

The square root of 85164567 is about 9228.4650402979. The cubic root of 85164567 is about 439.9665384333.

The spelling of 85164567 in words is "eighty-five million, one hundred sixty-four thousand, five hundred sixty-seven".