82104 has 32 divisors (see below), whose sum is σ = 224640. Its totient is φ = 24800.

The previous prime is 82073. The next prime is 82129. The reversal of 82104 is 40128.

82104 = T₇ + T₈ + ... + T₇₈.

It is a plaindrome in base 9.

It is a congruent number.

It is an unprimeable number.

82104 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, 109 + ... + 419.

It is an arithmetic number, because the mean of its divisors is an integer number (7020).

2⁸²¹⁰⁴ 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 82104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112320).

82104 is an abundant number, since it is smaller than the sum of its proper divisors (142536).

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

82104 is a wasteful number, since it uses less digits than its factorization.

82104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 82104 is about 286.5379556010. The cubic root of 82104 is about 43.4631740119.

It can be divided in two parts, 8 and 2104, that added together give a palindrome (2112).

The spelling of 82104 in words is "eighty-two thousand, one hundred four".