814135401 has 16 divisors (see below), whose sum is σ = 1235545920. Its totient is φ = 529518240.

The previous prime is 814135397. The next prime is 814135403. The reversal of 814135401 is 104531418.

It is a happy number.

814135401 is a `hidden beast` number, since 81 + 41 + 3 + 540 + 1 = 666.

It is not a de Polignac number, because 814135401 - 2² = 814135397 is a prime.

It is a super-2 number, since 2×814135401² = 1325632902322861602, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (814135403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366615 + ... + 368828.

It is an arithmetic number, because the mean of its divisors is an integer number (77221620).

Almost surely, 2^814135401 is an apocalyptic number.

It is an amenable number.

814135401 is a deficient number, since it is larger than the sum of its proper divisors (421410519).

814135401 is a wasteful number, since it uses less digits than its factorization.

814135401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735493 (or 735487 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 814135401 is about 28533.0580380022. The cubic root of 814135401 is about 933.7534365448.

Adding to 814135401 its reverse (104531418), we get a palindrome (918666819).

The spelling of 814135401 in words is "eight hundred fourteen million, one hundred thirty-five thousand, four hundred one".