208909 has 8 divisors (see below), whose sum is σ = 225792. Its totient is φ = 192720.

The previous prime is 208907. The next prime is 208927. The reversal of 208909 is 909802.

It is a happy number.

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 208909 - 2¹ = 208907 is a prime.

It is a Duffinian number.

208909 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 567 + ... + 859.

It is an arithmetic number, because the mean of its divisors is an integer number (28224).

2²⁰⁸⁹⁰⁹ is an apocalyptic number.

It is an amenable number.

208909 is a deficient number, since it is larger than the sum of its proper divisors (16883).

208909 is a wasteful number, since it uses less digits than its factorization.

208909 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347.

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 208909 is about 457.0656408001. The cubic root of 208909 is about 59.3361071239.

The spelling of 208909 in words is "two hundred eight thousand, nine hundred nine".