214912 has 32 divisors (see below), whose sum is σ = 452880. Its totient is φ = 101376.

The previous prime is 214891. The next prime is 214913. The reversal of 214912 is 219412.

214912 = 14² + 15² + ... + 86².

214912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 214912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214913) by changing a digit.

214912 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2908 + ... + 2980.

2²¹⁴⁹¹² 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 214912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226440).

214912 is an abundant number, since it is smaller than the sum of its proper divisors (237968).

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

214912 is an equidigital number, since it uses as much as digits as its factorization.

214912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 98 counting only the distinct ones).

The product of its digits is 144, while the sum is 19.

The square root of 214912 is about 463.5860222224. The cubic root of 214912 is about 59.8990896394.

The spelling of 214912 in words is "two hundred fourteen thousand, nine hundred twelve".