814009 has 8 divisors (see below), whose sum is σ = 940160. Its totient is φ = 690336.

The previous prime is 814007. The next prime is 814013. The reversal of 814009 is 900418.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 814009 - 2¹ = 814007 is a prime.

It is a super-2 number, since 2×814009² = 1325221304162, which contains 22 as substring.

It is a Duffinian number.

814009 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (814003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157 + ... + 1285.

It is an arithmetic number, because the mean of its divisors is an integer number (117520).

2⁸¹⁴⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

814009 is a deficient number, since it is larger than the sum of its proper divisors (126151).

814009 is a wasteful number, since it uses less digits than its factorization.

814009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239.

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 814009 is about 902.2244731773. The cubic root of 814009 is about 93.3705109826.

The spelling of 814009 in words is "eight hundred fourteen thousand, nine".