84208 has 20 divisors (see below), whose sum is σ = 172360. Its totient is φ = 39744.

The previous prime is 84199. The next prime is 84211. The reversal of 84208 is 80248.

It is a congruent number.

It is an unprimeable number.

84208 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 166 + ... + 442.

It is an arithmetic number, because the mean of its divisors is an integer number (8618).

2⁸⁴²⁰⁸ 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 84208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86180).

84208 is an abundant number, since it is smaller than the sum of its proper divisors (88152).

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

84208 is a wasteful number, since it uses less digits than its factorization.

84208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 298 counting only the distinct ones).

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

The square root of 84208 is about 290.1861471539. The cubic root of 84208 is about 43.8313100150.

It can be divided in two parts, 84 and 208, that added together give a palindrome (292).

The spelling of 84208 in words is "eighty-four thousand, two hundred eight".