208823121 has 48 divisors (see below), whose sum is σ = 349300224. Its totient is φ = 119066112.

The previous prime is 208823119. The next prime is 208823137. The reversal of 208823121 is 121328802.

It is not a de Polignac number, because 208823121 - 2¹ = 208823119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (208823101) 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 47 ways as a sum of consecutive naturals, for example, 132480 + ... + 134046.

It is an arithmetic number, because the mean of its divisors is an integer number (7277088).

Almost surely, 2^208823121 is an apocalyptic number.

It is an amenable number.

208823121 is a deficient number, since it is larger than the sum of its proper divisors (140477103).

208823121 is a wasteful number, since it uses less digits than its factorization.

208823121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 208823121 is about 14450.7135117959. The cubic root of 208823121 is about 593.2797531538.

The spelling of 208823121 in words is "two hundred eight million, eight hundred twenty-three thousand, one hundred twenty-one".