82180 has 24 divisors (see below), whose sum is σ = 197568. Its totient is φ = 28128.

The previous prime is 82171. The next prime is 82183. The reversal of 82180 is 8128.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (82183) by changing a digit.

82180 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154 + ... + 433.

It is an arithmetic number, because the mean of its divisors is an integer number (8232).

2⁸²¹⁸⁰ is an apocalyptic number.

It is an amenable number.

82180 is an abundant number, since it is smaller than the sum of its proper divisors (115388).

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 (98784).

82180 is a wasteful number, since it uses less digits than its factorization.

82180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 82180 is about 286.6705426095. The cubic root of 82180 is about 43.4765805148.

It can be divided in two parts, 82 and 180, that added together give a palindrome (262).

The spelling of 82180 in words is "eighty-two thousand, one hundred eighty".