211713080 has 64 divisors (see below), whose sum is σ = 493637760. Its totient is φ = 81664128.

The previous prime is 211713011. The next prime is 211713113. The reversal of 211713080 is 80317112.

It is a happy number.

211713080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142019 + ... + 143501.

It is an arithmetic number, because the mean of its divisors is an integer number (7713090).

Almost surely, 2^211713080 is an apocalyptic number.

211713080 is a gapful number since it is divisible by the number (20) 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 211713080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246818880).

211713080 is an abundant number, since it is smaller than the sum of its proper divisors (281924680).

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

211713080 is a wasteful number, since it uses less digits than its factorization.

211713080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 211713080 is about 14550.3635693408. The cubic root of 211713080 is about 596.0040763651.

The spelling of 211713080 in words is "two hundred eleven million, seven hundred thirteen thousand, eighty".