814384129 has 24 divisors (see below), whose sum is σ = 908511552. Its totient is φ = 729368640.

The previous prime is 814384117. The next prime is 814384183. The reversal of 814384129 is 921483418.

It is not a de Polignac number, because 814384129 - 2⁷ = 814384001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 814384091 and 814384100.

It is not an unprimeable number, because it can be changed into a prime (814384199) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 803427 + ... + 804439.

It is an arithmetic number, because the mean of its divisors is an integer number (37854648).

Almost surely, 2^814384129 is an apocalyptic number.

It is an amenable number.

814384129 is a deficient number, since it is larger than the sum of its proper divisors (94127423).

814384129 is a wasteful number, since it uses less digits than its factorization.

814384129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1164 counting only the distinct ones).

The product of its digits is 55296, while the sum is 40.

The square root of 814384129 is about 28537.4162986070. The cubic root of 814384129 is about 933.8485177712.

The spelling of 814384129 in words is "eight hundred fourteen million, three hundred eighty-four thousand, one hundred twenty-nine".