82120 has 16 divisors (see below), whose sum is σ = 184860. Its totient is φ = 32832.

The previous prime is 82073. The next prime is 82129. The reversal of 82120 is 2128.

It can be written as a sum of positive squares in 2 ways, for example, as 81796 + 324 = 286^2 + 18^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 82120.

It is not an unprimeable number, because it can be changed into a prime (82129) by changing a digit.

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, 987 + ... + 1066.

2⁸²¹²⁰ is an apocalyptic number.

It is an amenable number.

82120 is an abundant number, since it is smaller than the sum of its proper divisors (102740).

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 (92430).

82120 is a wasteful number, since it uses less digits than its factorization.

82120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 82120 is about 286.5658737533. The cubic root of 82120 is about 43.4659971208.

Adding to 82120 its reverse (2128), we get a palindrome (84248).

It can be divided in two parts, 821 and 20, that added together give a square (841 = 29²).

The spelling of 82120 in words is "eighty-two thousand, one hundred twenty".