208117 has 8 divisors (see below), whose sum is σ = 256256. Its totient is φ = 164592.

The previous prime is 208111. The next prime is 208121. The reversal of 208117 is 711802.

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 208117 - 2¹¹ = 206069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 208094 and 208103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208111) 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 7 ways as a sum of consecutive naturals, for example, 1053 + ... + 1234.

It is an arithmetic number, because the mean of its divisors is an integer number (32032).

2²⁰⁸¹¹⁷ is an apocalyptic number.

It is an amenable number.

208117 is a deficient number, since it is larger than the sum of its proper divisors (48139).

208117 is a wasteful number, since it uses less digits than its factorization.

208117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307.

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 208117 is about 456.1984217421. The cubic root of 208117 is about 59.2610286460.

Adding to 208117 its reverse (711802), we get a palindrome (919919).

It can be divided in two parts, 208 and 117, that multiplied together give a square (24336 = 156²).

The spelling of 208117 in words is "two hundred eight thousand, one hundred seventeen".