814004 has 12 divisors (see below), whose sum is σ = 1433124. Its totient is φ = 404544.

The previous prime is 814003. The next prime is 814007. The reversal of 814004 is 400418.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 792100 + 21904 = 890^2 + 148^2 .

It is a plaindrome in base 13 and base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 814004.

It is not an unprimeable number, because it can be changed into a prime (814003) 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 in 3 ways as a sum of consecutive naturals, for example, 272 + ... + 1304.

It is an arithmetic number, because the mean of its divisors is an integer number (119427).

2⁸¹⁴⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

814004 is a deficient number, since it is larger than the sum of its proper divisors (619120).

814004 is a wasteful number, since it uses less digits than its factorization.

814004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 814004 is about 902.2217022440. The cubic root of 814004 is about 93.3703198080.

The spelling of 814004 in words is "eight hundred fourteen thousand, four".