214128 has 30 divisors (see below), whose sum is σ = 599664. Its totient is φ = 71328.

The previous prime is 214091. The next prime is 214129. The reversal of 214128 is 821412.

214128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 214128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214129) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 600 + ... + 887.

2²¹⁴¹²⁸ is an apocalyptic number.

It is an amenable number.

214128 is an abundant number, since it is smaller than the sum of its proper divisors (385536).

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

214128 is a wasteful number, since it uses less digits than its factorization.

214128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1492 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 214128 is about 462.7396676318. The cubic root of 214128 is about 59.8261635009.

The spelling of 214128 in words is "two hundred fourteen thousand, one hundred twenty-eight".