208539 has 24 divisors (see below), whose sum is σ = 336960. Its totient is φ = 123648.

The previous prime is 208529. The next prime is 208553. The reversal of 208539 is 935802.

It is not a de Polignac number, because 208539 - 2⁸ = 208283 is a prime.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (208519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4414 + ... + 4460.

It is an arithmetic number, because the mean of its divisors is an integer number (14040).

2²⁰⁸⁵³⁹ is an apocalyptic number.

208539 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

208539 is a deficient number, since it is larger than the sum of its proper divisors (128421).

208539 is a wasteful number, since it uses less digits than its factorization.

208539 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 208539 is about 456.6607055572. The cubic root of 208539 is about 59.3010562428.

It can be divided in two parts, 208 and 539, that added together give a palindrome (747).

The spelling of 208539 in words is "two hundred eight thousand, five hundred thirty-nine".