211896 has 48 divisors (see below), whose sum is σ = 600600. Its totient is φ = 69984.

The previous prime is 211891. The next prime is 211927. The reversal of 211896 is 698112.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1890 + ... + 1998.

211896 is a Friedman number, since it can be written as 981*6^(2+1), using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 216 ⋅ 981 (with its own digits).

2²¹¹⁸⁹⁶ 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 211896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300300).

211896 is an abundant number, since it is smaller than the sum of its proper divisors (388704).

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

211896 is a wasteful number, since it uses less digits than its factorization.

211896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 114 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 211896 is about 460.3216266916. The cubic root of 211896 is about 59.6175676033.

The spelling of 211896 in words is "two hundred eleven thousand, eight hundred ninety-six".