214121409 has 16 divisors (see below), whose sum is σ = 302983488. Its totient is φ = 134042112.

The previous prime is 214121377. The next prime is 214121417. The reversal of 214121409 is 904121412.

214121409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 214121409 - 2⁵ = 214121377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214121419) 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, 18714 + ... + 27900.

It is an arithmetic number, because the mean of its divisors is an integer number (18936468).

Almost surely, 2^214121409 is an apocalyptic number.

It is an amenable number.

214121409 is a deficient number, since it is larger than the sum of its proper divisors (88862079).

214121409 is a wasteful number, since it uses less digits than its factorization.

214121409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9664.

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

The square root of 214121409 is about 14632.8879241249. The cubic root of 214121409 is about 598.2554966514.

The spelling of 214121409 in words is "two hundred fourteen million, one hundred twenty-one thousand, four hundred nine".