211904 has 56 divisors (see below), whose sum is σ = 536448. Its totient is φ = 80640.

The previous prime is 211891. The next prime is 211927. The reversal of 211904 is 409112.

211904 = T₇₇ + T₇₈ + ... + T₁₁₉.

It is a happy number.

211904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

211904 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4907 + ... + 4949.

2²¹¹⁹⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268224).

211904 is an abundant number, since it is smaller than the sum of its proper divisors (324544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211904 is a wasteful number, since it uses less digits than its factorization.

211904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 211904 is about 460.3303161861. The cubic root of 211904 is about 59.6183178684.

The spelling of 211904 in words is "two hundred eleven thousand, nine hundred four".