211988385 has 96 divisors (see below), whose sum is σ = 459343872. Its totient is φ = 88197120.

The previous prime is 211988303. The next prime is 211988407. The reversal of 211988385 is 583889112.

It is a happy number.

211988385 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211988385 - 2⁸ = 211988129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 211988385.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165367 + ... + 166643.

It is an arithmetic number, because the mean of its divisors is an integer number (4784832).

Almost surely, 2^211988385 is an apocalyptic number.

It is an amenable number.

211988385 is an abundant number, since it is smaller than the sum of its proper divisors (247355487).

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

211988385 is a wasteful number, since it uses less digits than its factorization.

211988385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1340 counting only the distinct ones).

The product of its digits is 138240, while the sum is 45.

The square root of 211988385 is about 14559.8209123602. The cubic root of 211988385 is about 596.2623060894.

The spelling of 211988385 in words is "two hundred eleven million, nine hundred eighty-eight thousand, three hundred eighty-five".