54208 has 42 divisors (see below), whose sum is σ = 135128. Its totient is φ = 21120.

The previous prime is 54193. The next prime is 54217. The reversal of 54208 is 80245.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

54208 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 5 ways as a sum of consecutive naturals, for example, 4923 + ... + 4933.

2⁵⁴²⁰⁸ 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 54208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67564).

54208 is an abundant number, since it is smaller than the sum of its proper divisors (80920).

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

54208 is a wasteful number, since it uses less digits than its factorization.

54208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 54208 is about 232.8261153737. The cubic root of 54208 is about 37.8460996116.

It can be divided in two parts, 54 and 208, that added together give a palindrome (262).

The spelling of 54208 in words is "fifty-four thousand, two hundred eight".