82481504 has 72 divisors (see below), whose sum is σ = 193655448. Its totient is φ = 34460160.

The previous prime is 82481471. The next prime is 82481507. The reversal of 82481504 is 40518428.

It is a happy number.

It is a super-3 number, since 3×82481504³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82481507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63647 + ... + 64929.

It is an arithmetic number, because the mean of its divisors is an integer number (2689659).

Almost surely, 2^82481504 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 82481504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96827724).

82481504 is an abundant number, since it is smaller than the sum of its proper divisors (111173944).

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

82481504 is a wasteful number, since it uses less digits than its factorization.

82481504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 82481504 is about 9081.9328339291. The cubic root of 82481504 is about 435.2968493906.

It can be divided in two parts, 824 and 81504, that added together give a palindrome (82328).

The spelling of 82481504 in words is "eighty-two million, four hundred eighty-one thousand, five hundred four".