211985641 has 32 divisors (see below), whose sum is σ = 268646400. Its totient is φ = 163397520.

The previous prime is 211985633. The next prime is 211985647. The reversal of 211985641 is 146589112.

It is not a de Polignac number, because 211985641 - 2³ = 211985633 is a prime.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

Its product of digits (17280) is a multiple of the sum of its prime divisors (180).

It is a self number, because there is not a number n which added to its sum of digits gives 211985641.

It is not an unprimeable number, because it can be changed into a prime (211985647) 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 31 ways as a sum of consecutive naturals, for example, 1618146 + ... + 1618276.

It is an arithmetic number, because the mean of its divisors is an integer number (8395200).

Almost surely, 2^211985641 is an apocalyptic number.

It is an amenable number.

211985641 is a deficient number, since it is larger than the sum of its proper divisors (56660759).

211985641 is an equidigital number, since it uses as much as digits as its factorization.

211985641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 180 counting only the distinct ones).

The product of its digits is 17280, while the sum is 37.

The square root of 211985641 is about 14559.7266801269. The cubic root of 211985641 is about 596.2597333842.

The spelling of 211985641 in words is "two hundred eleven million, nine hundred eighty-five thousand, six hundred forty-one".