211345316 has 72 divisors (see below), whose sum is σ = 466079040. Its totient is φ = 82083456.

The previous prime is 211345289. The next prime is 211345319. The reversal of 211345316 is 613543112.

211345316 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (211345319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278810 + ... + 279566.

It is an arithmetic number, because the mean of its divisors is an integer number (6473320).

Almost surely, 2^211345316 is an apocalyptic number.

211345316 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211345316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233039520).

211345316 is an abundant number, since it is smaller than the sum of its proper divisors (254733724).

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

211345316 is a wasteful number, since it uses less digits than its factorization.

211345316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 838 counting only the distinct ones).

The product of its digits is 2160, while the sum is 26.

The square root of 211345316 is about 14537.7204540464. The cubic root of 211345316 is about 595.6587727393.

Adding to 211345316 its reverse (613543112), we get a palindrome (824888428).

The spelling of 211345316 in words is "two hundred eleven million, three hundred forty-five thousand, three hundred sixteen".