211000032 has 96 divisors (see below), whose sum is σ = 621653760. Its totient is φ = 69621120.

The previous prime is 211000021. The next prime is 211000033. The reversal of 211000032 is 230000112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 210999978 and 211000023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211000033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87807 + ... + 90177.

It is an arithmetic number, because the mean of its divisors is an integer number (6475560).

Almost surely, 2^211000032 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 211000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310826880).

211000032 is an abundant number, since it is smaller than the sum of its proper divisors (410653728).

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

211000032 is a wasteful number, since it uses less digits than its factorization.

211000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 211000032 is about 14525.8401478193. The cubic root of 211000032 is about 595.3342114098.

Adding to 211000032 its reverse (230000112), we get a palindrome (441000144).

The spelling of 211000032 in words is "two hundred eleven million, thirty-two", and thus it is an aban number.