211651712 has 32 divisors (see below), whose sum is σ = 425410380. Its totient is φ = 104882176.

The previous prime is 211651691. The next prime is 211651721. The reversal of 211651712 is 217156112.

It can be written as a sum of positive squares in 2 ways, for example, as 125978176 + 85673536 = 11224^2 + 9256^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 7148 + ... + 21780.

Almost surely, 2^211651712 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 211651712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212705190).

211651712 is an abundant number, since it is smaller than the sum of its proper divisors (213758668).

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

211651712 is a wasteful number, since it uses less digits than its factorization.

211651712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14760 (or 14748 counting only the distinct ones).

The product of its digits is 840, while the sum is 26.

The square root of 211651712 is about 14548.2546032162. The cubic root of 211651712 is about 595.9464840918.

The spelling of 211651712 in words is "two hundred eleven million, six hundred fifty-one thousand, seven hundred twelve".