85810172 has 36 divisors (see below), whose sum is σ = 175528080. Its totient is φ = 36598464.

The previous prime is 85810157. The next prime is 85810181. The reversal of 85810172 is 27101858.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 44729 + ... + 46607.

It is an arithmetic number, because the mean of its divisors is an integer number (4875780).

Almost surely, 2^85810172 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 85810172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87764040).

85810172 is an abundant number, since it is smaller than the sum of its proper divisors (89717908).

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

85810172 is a wasteful number, since it uses less digits than its factorization.

85810172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 32.

The square root of 85810172 is about 9263.3780015716. The cubic root of 85810172 is about 441.0754888830.

The spelling of 85810172 in words is "eighty-five million, eight hundred ten thousand, one hundred seventy-two".