813807 has 24 divisors (see below), whose sum is σ = 1297296. Its totient is φ = 508032.

The previous prime is 813797. The next prime is 813811. The reversal of 813807 is 708318.

It is not a de Polignac number, because 813807 - 2¹⁶ = 748271 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813817) 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 23 ways as a sum of consecutive naturals, for example, 4033 + ... + 4229.

It is an arithmetic number, because the mean of its divisors is an integer number (54054).

2⁸¹³⁸⁰⁷ is an apocalyptic number.

813807 is a deficient number, since it is larger than the sum of its proper divisors (483489).

813807 is a wasteful number, since it uses less digits than its factorization.

813807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 813807 is about 902.1125206979. The cubic root of 813807 is about 93.3627869061.

The spelling of 813807 in words is "eight hundred thirteen thousand, eight hundred seven".