84228 has 12 divisors (see below), whose sum is σ = 196560. Its totient is φ = 28072.

The previous prime is 84223. The next prime is 84229. The reversal of 84228 is 82248.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 84198 and 84207.

It is not an unprimeable number, because it can be changed into a prime (84221) 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, 3498 + ... + 3521.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2⁸⁴²²⁸ is an apocalyptic number.

It is an amenable number.

84228 is an abundant number, since it is smaller than the sum of its proper divisors (112332).

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 (98280).

84228 is a wasteful number, since it uses less digits than its factorization.

84228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7026 (or 7024 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 84228 is about 290.2206057467. The cubic root of 84228 is about 43.8347798231.

It can be divided in two parts, 8422 and 8, that multiplied together give a palindrome (67376).

The spelling of 84228 in words is "eighty-four thousand, two hundred twenty-eight".