208865 has 8 divisors (see below), whose sum is σ = 257640. Its totient is φ = 162432.

The previous prime is 208843. The next prime is 208877. The reversal of 208865 is 568802.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 18769 + 190096 = 137^2 + 436^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 208865 - 2⁸ = 208609 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 380 + ... + 749.

It is an arithmetic number, because the mean of its divisors is an integer number (32205).

2²⁰⁸⁸⁶⁵ is an apocalyptic number.

It is an amenable number.

208865 is a deficient number, since it is larger than the sum of its proper divisors (48775).

208865 is a wasteful number, since it uses less digits than its factorization.

208865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171.

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 208865 is about 457.0175051352. The cubic root of 208865 is about 59.3319410803.

The spelling of 208865 in words is "two hundred eight thousand, eight hundred sixty-five".