211985000 has 40 divisors (see below), whose sum is σ = 496692570. Its totient is φ = 84792000.

The previous prime is 211984999. The next prime is 211985009. The reversal of 211985000 is 589112.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 5373124 + 206611876 = 2318^2 + 14374^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (211985009) 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 9 ways as a sum of consecutive naturals, for example, 16199 + ... + 26198.

Almost surely, 2^211985000 is an apocalyptic number.

211985000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211985000 is an abundant number, since it is smaller than the sum of its proper divisors (284707570).

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

211985000 is an equidigital number, since it uses as much as digits as its factorization.

211985000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42423 (or 42404 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 26.

The square root of 211985000 is about 14559.7046673344. The cubic root of 211985000 is about 596.2591323956.

The spelling of 211985000 in words is "two hundred eleven million, nine hundred eighty-five thousand".