214209 has 6 divisors (see below), whose sum is σ = 309426. Its totient is φ = 142800.

The previous prime is 214189. The next prime is 214211. The reversal of 214209 is 902412.

It can be written as a sum of positive squares in only one way, i.e., 199809 + 14400 = 447^2 + 120^2 .

It is not a de Polignac number, because 214209 - 2⁵ = 214177 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 214191 and 214200.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 214209.

It is not an unprimeable number, because it can be changed into a prime (214219) 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, 11892 + ... + 11909.

It is an arithmetic number, because the mean of its divisors is an integer number (51571).

2²¹⁴²⁰⁹ is an apocalyptic number.

It is an amenable number.

214209 is a deficient number, since it is larger than the sum of its proper divisors (95217).

214209 is a wasteful number, since it uses less digits than its factorization.

214209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23807 (or 23804 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 214209 is about 462.8271815700. The cubic root of 214209 is about 59.8337061987.

The spelling of 214209 in words is "two hundred fourteen thousand, two hundred nine".