82362912 has 48 divisors (see below), whose sum is σ = 217455840. Its totient is φ = 27295232.

The previous prime is 82362883. The next prime is 82362913. The reversal of 82362912 is 21926328.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (82362913) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14788 + ... + 19580.

It is an arithmetic number, because the mean of its divisors is an integer number (4530330).

Almost surely, 2^82362912 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 82362912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108727920).

82362912 is an abundant number, since it is smaller than the sum of its proper divisors (135092928).

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

82362912 is a wasteful number, since it uses less digits than its factorization.

82362912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4985 (or 4977 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 82362912 is about 9075.4014787226. The cubic root of 82362912 is about 435.0881258897.

The spelling of 82362912 in words is "eighty-two million, three hundred sixty-two thousand, nine hundred twelve".