82185936 has 120 divisors (see below), whose sum is σ = 250546464. Its totient is φ = 23143680.

The previous prime is 82185931. The next prime is 82185937. The reversal of 82185936 is 63958128.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82185931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195006 + ... + 195426.

Almost surely, 2^82185936 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 82185936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125273232).

82185936 is an abundant number, since it is smaller than the sum of its proper divisors (168360528).

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

82185936 is a wasteful number, since it uses less digits than its factorization.

82185936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 516 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 82185936 is about 9065.6459229335. The cubic root of 82185936 is about 434.7762728514.

The spelling of 82185936 in words is "eighty-two million, one hundred eighty-five thousand, nine hundred thirty-six".