82456 has 16 divisors (see below), whose sum is σ = 168840. Its totient is φ = 37440.

The previous prime is 82421. The next prime is 82457. The reversal of 82456 is 65428.

It is a self number, because there is not a number n which added to its sum of digits gives 82456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82457) by changing a digit.

82456 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 381 + ... + 556.

2⁸²⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

82456 is an abundant number, since it is smaller than the sum of its proper divisors (86384).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84420).

82456 is a wasteful number, since it uses less digits than its factorization.

82456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 950 counting only the distinct ones).

The product of its digits is 1920, while the sum is 25.

The square root of 82456 is about 287.1515279430. The cubic root of 82456 is about 43.5251978905.

The spelling of 82456 in words is "eighty-two thousand, four hundred fifty-six".