211940 has 12 divisors (see below), whose sum is σ = 445116. Its totient is φ = 84768.

The previous prime is 211933. The next prime is 211943. The reversal of 211940 is 49112.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 33856 + 178084 = 184^2 + 422^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211943) by changing a digit.

211940 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 5279 + ... + 5318.

It is an arithmetic number, because the mean of its divisors is an integer number (37093).

2²¹¹⁹⁴⁰ is an apocalyptic number.

211940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211940 is an abundant number, since it is smaller than the sum of its proper divisors (233176).

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

211940 is a wasteful number, since it uses less digits than its factorization.

211940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10606 (or 10604 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 211940 is about 460.3694168817. The cubic root of 211940 is about 59.6216938278.

The spelling of 211940 in words is "two hundred eleven thousand, nine hundred forty".