211364 has 12 divisors (see below), whose sum is σ = 377244. Its totient is φ = 103584.

The previous prime is 211349. The next prime is 211369. The reversal of 211364 is 463112.

211364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 168100 + 43264 = 410^2 + 208^2 .

It is a plaindrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 211364.

It is not an unprimeable number, because it can be changed into a prime (211369) by changing a digit.

211364 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 3 ways as a sum of consecutive naturals, for example, 287 + ... + 710.

It is an arithmetic number, because the mean of its divisors is an integer number (31437).

2²¹¹³⁶⁴ is an apocalyptic number.

It is an amenable number.

211364 is a deficient number, since it is larger than the sum of its proper divisors (165880).

211364 is a wasteful number, since it uses less digits than its factorization.

211364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1052 counting only the distinct ones).

The product of its digits is 144, while the sum is 17.

The square root of 211364 is about 459.7434066955. The cubic root of 211364 is about 59.5676325310.

Adding to 211364 its reverse (463112), we get a palindrome (674476).

It can be divided in two parts, 211 and 364, that added together give a palindrome (575).

The spelling of 211364 in words is "two hundred eleven thousand, three hundred sixty-four".