84820 has 12 divisors (see below), whose sum is σ = 178164. Its totient is φ = 33920.

The previous prime is 84811. The next prime is 84827. The reversal of 84820 is 2848.

It can be written as a sum of positive squares in 2 ways, for example, as 63504 + 21316 = 252^2 + 146^2 .

It is a junction number, because it is equal to n+sod(n) for n = 84791 and 84800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84827) by changing a digit.

84820 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 3 ways as a sum of consecutive naturals, for example, 2101 + ... + 2140.

It is an arithmetic number, because the mean of its divisors is an integer number (14847).

2⁸⁴⁸²⁰ is an apocalyptic number.

It is an amenable number.

84820 is an abundant number, since it is smaller than the sum of its proper divisors (93344).

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 (89082).

84820 is a wasteful number, since it uses less digits than its factorization.

84820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4250 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 84820 is about 291.2387336877. The cubic root of 84820 is about 43.9372383429.

It can be divided in two parts, 848 and 20, that added together give a palindrome (868).

The spelling of 84820 in words is "eighty-four thousand, eight hundred twenty".