211858164 has 108 divisors (see below), whose sum is σ = 630905184. Its totient is φ = 59760288.

The previous prime is 211858139. The next prime is 211858169. The reversal of 211858164 is 461858112.

211858164 is a `hidden beast` number, since 2 + 1 + 18 + 581 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211858169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 145689 + ... + 147135.

Almost surely, 2^211858164 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 211858164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315452592).

211858164 is an abundant number, since it is smaller than the sum of its proper divisors (419047020).

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

211858164 is a wasteful number, since it uses less digits than its factorization.

211858164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1542 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 211858164 is about 14555.3482953861. The cubic root of 211858164 is about 596.1401896850.

The spelling of 211858164 in words is "two hundred eleven million, eight hundred fifty-eight thousand, one hundred sixty-four".