211392 has 42 divisors (see below), whose sum is σ = 607568. Its totient is φ = 70272.

The previous prime is 211373. The next prime is 211403. The reversal of 211392 is 293112.

It is a happy number.

211392 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 211392.

It is an unprimeable number.

211392 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 5 ways as a sum of consecutive naturals, for example, 393 + ... + 759.

2²¹¹³⁹² 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 211392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303784).

211392 is an abundant number, since it is smaller than the sum of its proper divisors (396176).

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

211392 is a wasteful number, since it uses less digits than its factorization.

211392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 372 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 211392 is about 459.7738574560. The cubic root of 211392 is about 59.5702627803.

The spelling of 211392 in words is "two hundred eleven thousand, three hundred ninety-two".