85380867 has 72 divisors (see below), whose sum is σ = 150851792. Its totient is φ = 46189440.

The previous prime is 85380857. The next prime is 85380871. The reversal of 85380867 is 76808358.

It is not a de Polignac number, because 85380867 - 2⁷ = 85380739 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85380857) 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 71 ways as a sum of consecutive naturals, for example, 523728 + ... + 523890.

Almost surely, 2^85380867 is an apocalyptic number.

85380867 is a deficient number, since it is larger than the sum of its proper divisors (65470925).

85380867 is a wasteful number, since it uses less digits than its factorization.

85380867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 85380867 is about 9240.1767840231. The cubic root of 85380867 is about 440.3386975482.

The spelling of 85380867 in words is "eighty-five million, three hundred eighty thousand, eight hundred sixty-seven".