211842 has 16 divisors (see below), whose sum is σ = 470880. Its totient is φ = 70596.

The previous prime is 211817. The next prime is 211859. The reversal of 211842 is 248112.

211842 is digitally balanced in base 2, 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 an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 211842.

It is an unprimeable number.

211842 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 7 ways as a sum of consecutive naturals, for example, 1908 + ... + 2015.

It is an arithmetic number, because the mean of its divisors is an integer number (29430).

2²¹¹⁸⁴² is an apocalyptic number.

211842 is an abundant number, since it is smaller than the sum of its proper divisors (259038).

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

211842 is a wasteful number, since it uses less digits than its factorization.

211842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3934 (or 3928 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 211842 is about 460.2629683127. The cubic root of 211842 is about 59.6125028197.

Adding to 211842 its reverse (248112), we get a palindrome (459954).

The spelling of 211842 in words is "two hundred eleven thousand, eight hundred forty-two".