214944 has 24 divisors (see below), whose sum is σ = 564480. Its totient is φ = 71616.

The previous prime is 214943. The next prime is 214967. The reversal of 214944 is 449412.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 214944.

It is not an unprimeable number, because it can be changed into a prime (214943) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1024 + ... + 1215.

It is an arithmetic number, because the mean of its divisors is an integer number (23520).

2²¹⁴⁹⁴⁴ is an apocalyptic number.

214944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214944 is an abundant number, since it is smaller than the sum of its proper divisors (349536).

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

214944 is a wasteful number, since it uses less digits than its factorization.

214944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2252 (or 2244 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 214944 is about 463.6205344891. The cubic root of 214944 is about 59.9020624465.

The spelling of 214944 in words is "two hundred fourteen thousand, nine hundred forty-four".