85821800 has 24 divisors (see below), whose sum is σ = 199536150. Its totient is φ = 34328640.

The previous prime is 85821781. The next prime is 85821829. The reversal of 85821800 is 812858.

It can be written as a sum of positive squares in 3 ways, for example, as 45346756 + 40475044 = 6734^2 + 6362^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 214355 + ... + 214754.

Almost surely, 2^85821800 is an apocalyptic number.

It is an amenable number.

85821800 is an abundant number, since it is smaller than the sum of its proper divisors (113714350).

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

85821800 is a wasteful number, since it uses less digits than its factorization.

85821800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429125 (or 429116 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 32.

The square root of 85821800 is about 9264.0056131244. The cubic root of 85821800 is about 441.0954111293.

The spelling of 85821800 in words is "eighty-five million, eight hundred twenty-one thousand, eight hundred".