85311000 has 96 divisors (see below), whose sum is σ = 288381600. Its totient is φ = 22747200.

The previous prime is 85310989. The next prime is 85311013. The reversal of 85311000 is 11358.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4261 + ... + 13739.

It is an arithmetic number, because the mean of its divisors is an integer number (3003975).

Almost surely, 2^85311000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144190800).

85311000 is an abundant number, since it is smaller than the sum of its proper divisors (203070600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85311000 is a wasteful number, since it uses less digits than its factorization.

85311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9506 (or 9489 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 85311000 is about 9236.3954008044. The cubic root of 85311000 is about 440.2185553338.

Adding to 85311000 its reverse (11358), we get a palindrome (85322358).

The spelling of 85311000 in words is "eighty-five million, three hundred eleven thousand".