82420 has 24 divisors (see below), whose sum is σ = 186984. Its totient is φ = 30336.

The previous prime is 82393. The next prime is 82421. The reversal of 82420 is 2428.

82420 = T₂₀₁ + T₂₀₂ + ... + T₂₀₄.

82420 = 67² + 68² + ... + 81².

It can be written as a sum of positive squares in 4 ways, for example, as 1764 + 80656 = 42^2 + 284^2 .

It is a junction number, because it is equal to n+sod(n) for n = 82394 and 82403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82421) by changing a digit.

82420 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, 102 + ... + 418.

It is an arithmetic number, because the mean of its divisors is an integer number (7791).

2⁸²⁴²⁰ 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 82420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93492).

82420 is an abundant number, since it is smaller than the sum of its proper divisors (104564).

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

82420 is a wasteful number, since it uses less digits than its factorization.

82420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 82420 is about 287.0888364252. The cubic root of 82420 is about 43.5188626523.

Adding to 82420 its reverse (2428), we get a palindrome (84848).

The spelling of 82420 in words is "eighty-two thousand, four hundred twenty".