82476 has 36 divisors (see below), whose sum is σ = 218400. Its totient is φ = 26208.

The previous prime is 82471. The next prime is 82483. The reversal of 82476 is 67428.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (82471) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1005 + ... + 1083.

2⁸²⁴⁷⁶ 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 82476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109200).

82476 is an abundant number, since it is smaller than the sum of its proper divisors (135924).

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

82476 is a wasteful number, since it uses less digits than its factorization.

82476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 113 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 82476 is about 287.1863506506. The cubic root of 82476 is about 43.5287166706.

It can be divided in two parts, 824 and 76, that added together give a square (900 = 30²).

The spelling of 82476 in words is "eighty-two thousand, four hundred seventy-six".