82185804 has 72 divisors (see below), whose sum is σ = 212874480. Its totient is φ = 26729472.

The previous prime is 82185781. The next prime is 82185841. The reversal of 82185804 is 40858128.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 361939 + ... + 362165.

It is an arithmetic number, because the mean of its divisors is an integer number (2956590).

Almost surely, 2^82185804 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 82185804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106437240).

82185804 is an abundant number, since it is smaller than the sum of its proper divisors (130688676).

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

82185804 is a wasteful number, since it uses less digits than its factorization.

82185804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 82185804 is about 9065.6386426991. The cubic root of 82185804 is about 434.7760400845.

It can be divided in two parts, 8 and 2185804, that added together give a palindrome (2185812).

The spelling of 82185804 in words is "eighty-two million, one hundred eighty-five thousand, eight hundred four".