211964712 has 64 divisors (see below), whose sum is σ = 563068800. Its totient is φ = 66366720.

The previous prime is 211964693. The next prime is 211964713. The reversal of 211964712 is 217469112.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (211964713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21637 + ... + 29867.

It is an arithmetic number, because the mean of its divisors is an integer number (8797950).

Almost surely, 2^211964712 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 211964712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281534400).

211964712 is an abundant number, since it is smaller than the sum of its proper divisors (351104088).

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

211964712 is a wasteful number, since it uses less digits than its factorization.

211964712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8306 (or 8302 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 211964712 is about 14559.0079332350. The cubic root of 211964712 is about 596.2401101516.

The spelling of 211964712 in words is "two hundred eleven million, nine hundred sixty-four thousand, seven hundred twelve".