814005 has 12 divisors (see below), whose sum is σ = 1411020. Its totient is φ = 434112.

The previous prime is 814003. The next prime is 814007. The reversal of 814005 is 500418.

It is an interprime number because it is at equal distance from previous prime (814003) and next prime (814007).

It can be written as a sum of positive squares in 2 ways, for example, as 544644 + 269361 = 738^2 + 519^2 .

It is not a de Polignac number, because 814005 - 2¹ = 814003 is a prime.

It is a plaindrome in base 13.

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 814005.

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 11 ways as a sum of consecutive naturals, for example, 9000 + ... + 9089.

It is an arithmetic number, because the mean of its divisors is an integer number (117585).

2⁸¹⁴⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

814005 is a deficient number, since it is larger than the sum of its proper divisors (597015).

814005 is a wasteful number, since it uses less digits than its factorization.

814005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18100 (or 18097 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 814005 is about 902.2222564313. Note that the first 4 decimals coincide. The cubic root of 814005 is about 93.3703580430.

The spelling of 814005 in words is "eight hundred fourteen thousand, five".