208985 has 12 divisors (see below), whose sum is σ = 292068. Its totient is φ = 143136.

The previous prime is 208963. The next prime is 208991. The reversal of 208985 is 589802.

It can be written as a sum of positive squares in 2 ways, for example, as 38416 + 170569 = 196^2 + 413^2 .

It is not a de Polignac number, because 208985 - 2⁸ = 208729 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 208985.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 182 + ... + 671.

It is an arithmetic number, because the mean of its divisors is an integer number (24339).

2²⁰⁸⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

208985 is a deficient number, since it is larger than the sum of its proper divisors (83083).

208985 is an equidigital number, since it uses as much as digits as its factorization.

208985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 208985 is about 457.1487722832. The cubic root of 208985 is about 59.3433016399.

It can be divided in two parts, 20 and 8985, that multiplied together give a triangular number (179700 = T₅₉₉).

The spelling of 208985 in words is "two hundred eight thousand, nine hundred eighty-five".