214009 has 2 divisors, whose sum is σ = 214010. Its totient is φ = 214008.

The previous prime is 214007. The next prime is 214021. The reversal of 214009 is 900412.

214009 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 138384 + 75625 = 372^2 + 275^2 .

It is a cyclic number.

It is not a de Polignac number, because 214009 - 2¹ = 214007 is a prime.

Together with 214007, it forms a pair of twin primes.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 213983 and 214001.

It is not a weakly prime, because it can be changed into another prime (214003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107004 + 107005.

It is an arithmetic number, because the mean of its divisors is an integer number (107005).

2²¹⁴⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

214009 is a deficient number, since it is larger than the sum of its proper divisors (1).

214009 is an equidigital number, since it uses as much as digits as its factorization.

214009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 214009 is about 462.6110677448. The cubic root of 214009 is about 59.8150788028.

The spelling of 214009 in words is "two hundred fourteen thousand, nine".