82170 has 48 divisors (see below), whose sum is σ = 235872. Its totient is φ = 19680.

The previous prime is 82163. The next prime is 82171. The reversal of 82170 is 7128.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (82171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 949 + ... + 1031.

It is an arithmetic number, because the mean of its divisors is an integer number (4914).

2⁸²¹⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117936).

82170 is an abundant number, since it is smaller than the sum of its proper divisors (153702).

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

82170 is a wasteful number, since it uses less digits than its factorization.

82170 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 82170 is about 286.6531004542. The cubic root of 82170 is about 43.4748169736.

Adding to 82170 its reverse (7128), we get a palindrome (89298).

It can be divided in two parts, 82 and 170, that added together give a palindrome (252).

The spelling of 82170 in words is "eighty-two thousand, one hundred seventy".