85384767 has 16 divisors (see below), whose sum is σ = 123576320. Its totient is φ = 52127712.

The previous prime is 85384751. The next prime is 85384777. The reversal of 85384767 is 76748358.

It is not a de Polignac number, because 85384767 - 2⁴ = 85384751 is a prime.

It is a super-3 number, since 3×85384767³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85384777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3667 + ... + 13572.

It is an arithmetic number, because the mean of its divisors is an integer number (7723520).

Almost surely, 2^85384767 is an apocalyptic number.

85384767 is a deficient number, since it is larger than the sum of its proper divisors (38191553).

85384767 is a wasteful number, since it uses less digits than its factorization.

85384767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17382.

The product of its digits is 1128960, while the sum is 48.

The square root of 85384767 is about 9240.3878165367. The cubic root of 85384767 is about 440.3454019963.

The spelling of 85384767 in words is "eighty-five million, three hundred eighty-four thousand, seven hundred sixty-seven".