208392 has 32 divisors (see below), whose sum is σ = 549600. Its totient is φ = 65664.

The previous prime is 208391. The next prime is 208393. The reversal of 208392 is 293802.

208392 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (208391) and next prime (208393).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 208392.

It is not an unprimeable number, because it can be changed into a prime (208391) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 228 + ... + 684.

It is an arithmetic number, because the mean of its divisors is an integer number (17175).

2²⁰⁸³⁹² is an apocalyptic number.

It is a pronic number, being equal to 456×457.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274800).

208392 is an abundant number, since it is smaller than the sum of its proper divisors (341208).

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

208392 is a wasteful number, since it uses less digits than its factorization.

208392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 208392 is about 456.4997261774. The cubic root of 208392 is about 59.2871191146.

The spelling of 208392 in words is "two hundred eight thousand, three hundred ninety-two".