214305 has 32 divisors (see below), whose sum is σ = 424704. Its totient is φ = 89856.

The previous prime is 214297. The next prime is 214309. The reversal of 214305 is 503412.

It is not a de Polignac number, because 214305 - 2³ = 214297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214309) 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 31 ways as a sum of consecutive naturals, for example, 1287 + ... + 1443.

It is an arithmetic number, because the mean of its divisors is an integer number (13272).

2²¹⁴³⁰⁵ is an apocalyptic number.

It is an amenable number.

214305 is a deficient number, since it is larger than the sum of its proper divisors (210399).

214305 is a wasteful number, since it uses less digits than its factorization.

214305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 214305 is about 462.9308803698. The cubic root of 214305 is about 59.8426432304.

Subtracting from 214305 its product of nonzero digits (120), we obtain a triangular number (214185 = T₆₅₄).

Adding to 214305 its reverse (503412), we get a palindrome (717717).

The spelling of 214305 in words is "two hundred fourteen thousand, three hundred five".