208868517 has 64 divisors (see below), whose sum is σ = 371589120. Its totient is φ = 114264000.

The previous prime is 208868479. The next prime is 208868519. The reversal of 208868517 is 715868802.

It is not a de Polignac number, because 208868517 - 2²⁴ = 192091301 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208868519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 180892 + ... + 182042.

It is an arithmetic number, because the mean of its divisors is an integer number (5806080).

Almost surely, 2^208868517 is an apocalyptic number.

208868517 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

208868517 is a deficient number, since it is larger than the sum of its proper divisors (162720603).

208868517 is a wasteful number, since it uses less digits than its factorization.

208868517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 208868517 is about 14452.2841447295. The cubic root of 208868517 is about 593.3227410122.

It can be divided in two parts, 20886 and 8517, that added together give a triangular number (29403 = T₂₄₂).

The spelling of 208868517 in words is "two hundred eight million, eight hundred sixty-eight thousand, five hundred seventeen".