211530 has 32 divisors (see below), whose sum is σ = 554688. Its totient is φ = 51200.

The previous prime is 211507. The next prime is 211543. The reversal of 211530 is 35112.

211530 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

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 211530.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10 + ... + 650.

It is an arithmetic number, because the mean of its divisors is an integer number (17334).

2²¹¹⁵³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277344).

211530 is an abundant number, since it is smaller than the sum of its proper divisors (343158).

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

211530 is a wasteful number, since it uses less digits than its factorization.

211530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 211530 is about 459.9239067498. The cubic root of 211530 is about 59.5832227599.

Adding to 211530 its reverse (35112), we get a palindrome (246642).

It can be divided in two parts, 2115 and 30, that added together give a triangular number (2145 = T₆₅).

The spelling of 211530 in words is "two hundred eleven thousand, five hundred thirty".