211830 has 32 divisors (see below), whose sum is σ = 532224. Its totient is φ = 53856.

The previous prime is 211817. The next prime is 211859. The reversal of 211830 is 38112.

It is a happy number.

211830 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 (15).

It is a congruent number.

It is an unprimeable number.

211830 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 15 ways as a sum of consecutive naturals, for example, 537 + ... + 843.

It is an arithmetic number, because the mean of its divisors is an integer number (16632).

2²¹¹⁸³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266112).

211830 is an abundant number, since it is smaller than the sum of its proper divisors (320394).

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

211830 is a wasteful number, since it uses less digits than its factorization.

211830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 211830 is about 460.2499321021. The cubic root of 211830 is about 59.6113771953.

Adding to 211830 its reverse (38112), we get a palindrome (249942).

The spelling of 211830 in words is "two hundred eleven thousand, eight hundred thirty".