208004 has 12 divisors (see below), whose sum is σ = 367500. Its totient is φ = 103008.

The previous prime is 208003. The next prime is 208009. The reversal of 208004 is 400802.

It can be written as a sum of positive squares in 2 ways, for example, as 84100 + 123904 = 290^2 + 352^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 208004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208001) 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 3 ways as a sum of consecutive naturals, for example, 422 + ... + 770.

It is an arithmetic number, because the mean of its divisors is an integer number (30625).

2²⁰⁸⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

208004 is a deficient number, since it is larger than the sum of its proper divisors (159496).

208004 is a wasteful number, since it uses less digits than its factorization.

208004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 208004 is about 456.0745553087. The cubic root of 208004 is about 59.2503011729.

Adding to 208004 its reverse (400802), we get a palindrome (608806).

The spelling of 208004 in words is "two hundred eight thousand, four".