211164 has 12 divisors (see below), whose sum is σ = 492744. Its totient is φ = 70384.

The previous prime is 211153. The next prime is 211177. The reversal of 211164 is 461112.

It is a tau number, because it is divible by the number of its divisors (12).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8787 + ... + 8810.

It is an arithmetic number, because the mean of its divisors is an integer number (41062).

2²¹¹¹⁶⁴ is an apocalyptic number.

It is an amenable number.

211164 is an abundant number, since it is smaller than the sum of its proper divisors (281580).

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

211164 is a wasteful number, since it uses less digits than its factorization.

211164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17604 (or 17602 counting only the distinct ones).

The product of its digits is 48, while the sum is 15.

The square root of 211164 is about 459.5258425812. The cubic root of 211164 is about 59.5488382769.

Adding to 211164 its reverse (461112), we get a palindrome (672276).

The spelling of 211164 in words is "two hundred eleven thousand, one hundred sixty-four".