214304 has 24 divisors (see below), whose sum is σ = 435708. Its totient is φ = 103680.

The previous prime is 214297. The next prime is 214309. The reversal of 214304 is 403412.

Added to its reverse (403412) it gives a triangular number (617716 = T₁₁₁₁).

It can be written as a sum of positive squares in 2 ways, for example, as 211600 + 2704 = 460^2 + 52^2 .

It is not an unprimeable number, because it can be changed into a prime (214309) 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, 1094 + ... + 1274.

2²¹⁴³⁰⁴ 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 214304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217854).

214304 is an abundant number, since it is smaller than the sum of its proper divisors (221404).

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

214304 is a wasteful number, since it uses less digits than its factorization.

214304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 214304 is about 462.9298002937. The cubic root of 214304 is about 59.8425501501.

Adding to 214304 its reverse (403412), we get a palindrome (617716).

It can be divided in two parts, 214 and 304, that multiplied together give a palindrome (65056).

The spelling of 214304 in words is "two hundred fourteen thousand, three hundred four", and thus it is an iban number.