214809 has 16 divisors (see below), whose sum is σ = 335232. Its totient is φ = 119808.

The previous prime is 214807. The next prime is 214811. The reversal of 214809 is 908412.

214809 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (214807) and next prime (214811).

It is not a de Polignac number, because 214809 - 2¹ = 214807 is a prime.

It is a super-2 number, since 2×214809² = 92285812962, which contains 22 as substring.

214809 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 214809.

It is not an unprimeable number, because it can be changed into a prime (214807) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1017 + ... + 1209.

It is an arithmetic number, because the mean of its divisors is an integer number (20952).

2²¹⁴⁸⁰⁹ is an apocalyptic number.

It is an amenable number.

214809 is a deficient number, since it is larger than the sum of its proper divisors (120423).

214809 is a wasteful number, since it uses less digits than its factorization.

214809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 214809 is about 463.4749184152. The cubic root of 214809 is about 59.8895189126.

The spelling of 214809 in words is "two hundred fourteen thousand, eight hundred nine".