164084211 has 20 divisors (see below), whose sum is σ = 245460600. Its totient is φ = 109234656.

The previous prime is 164084203. The next prime is 164084213. The reversal of 164084211 is 112480461.

It is a happy number.

164084211 is a `hidden beast` number, since 1 + 640 + 8 + 4 + 2 + 11 = 666.

It is not a de Polignac number, because 164084211 - 2³ = 164084203 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (164084213) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 101175 + ... + 102783.

It is an arithmetic number, because the mean of its divisors is an integer number (12273030).

Almost surely, 2^164084211 is an apocalyptic number.

164084211 is a deficient number, since it is larger than the sum of its proper divisors (81376389).

164084211 is a wasteful number, since it uses less digits than its factorization.

164084211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 164084211 is about 12809.5359400721. The cubic root of 164084211 is about 547.4640396723.

The spelling of 164084211 in words is "one hundred sixty-four million, eighty-four thousand, two hundred eleven".