208065 has 32 divisors (see below), whose sum is σ = 395136. Its totient is φ = 92160.

The previous prime is 208057. The next prime is 208067. The reversal of 208065 is 560802.

It is a happy number.

It is not a de Polignac number, because 208065 - 2³ = 208057 is a prime.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 208065.

It is not an unprimeable number, because it can be changed into a prime (208067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2097 + ... + 2193.

It is an arithmetic number, because the mean of its divisors is an integer number (12348).

2²⁰⁸⁰⁶⁵ is an apocalyptic number.

It is an amenable number.

208065 is a deficient number, since it is larger than the sum of its proper divisors (187071).

208065 is a wasteful number, since it uses less digits than its factorization.

208065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 208065 is about 456.1414254373. The cubic root of 208065 is about 59.2560925922.

Adding to 208065 its reverse (560802), we get a palindrome (768867).

It can be divided in two parts, 2080 and 65, that added together give a triangular number (2145 = T₆₅).

The spelling of 208065 in words is "two hundred eight thousand, sixty-five".