208505 has 16 divisors (see below), whose sum is σ = 290304. Its totient is φ = 142080.

The previous prime is 208501. The next prime is 208511. The reversal of 208505 is 505802.

It is not a de Polignac number, because 208505 - 2² = 208501 is a prime.

It is a Duffinian number.

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 208505.

It is not an unprimeable number, because it can be changed into a prime (208501) 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 15 ways as a sum of consecutive naturals, for example, 824 + ... + 1046.

It is an arithmetic number, because the mean of its divisors is an integer number (18144).

2²⁰⁸⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

208505 is a deficient number, since it is larger than the sum of its proper divisors (81799).

208505 is a wasteful number, since it uses less digits than its factorization.

208505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256.

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 208505 is about 456.6234772764. The cubic root of 208505 is about 59.2978332717.

The spelling of 208505 in words is "two hundred eight thousand, five hundred five".