82386612 has 96 divisors (see below), whose sum is σ = 266327040. Its totient is φ = 21396960.

The previous prime is 82386599. The next prime is 82386613. The reversal of 82386612 is 21668328.

82386612 is a `hidden beast` number, since 8 + 2 + 38 + 6 + 612 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82386613) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3363 + ... + 13269.

It is an arithmetic number, because the mean of its divisors is an integer number (2774240).

Almost surely, 2^82386612 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 82386612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133163520).

82386612 is an abundant number, since it is smaller than the sum of its proper divisors (183940428).

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

82386612 is a wasteful number, since it uses less digits than its factorization.

82386612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9938 (or 9930 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 82386612 is about 9076.7071121635. The cubic root of 82386612 is about 435.1298542172.

The spelling of 82386612 in words is "eighty-two million, three hundred eighty-six thousand, six hundred twelve".