807813 has 10 divisors (see below), whose sum is σ = 1206854. Its totient is φ = 538488.

The previous prime is 807809. The next prime is 807817. The reversal of 807813 is 318708.

807813 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (807809) and next prime (807817).

It can be written as a sum of positive squares in only one way, i.e., 544644 + 263169 = 738^2 + 513^2 .

It is not a de Polignac number, because 807813 - 2² = 807809 is a prime.

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

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (807817) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4906 + ... + 5067.

2⁸⁰⁷⁸¹³ is an apocalyptic number.

It is an amenable number.

807813 is a deficient number, since it is larger than the sum of its proper divisors (399041).

807813 is an equidigital number, since it uses as much as digits as its factorization.

807813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9985 (or 9976 counting only the distinct ones).

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

The square root of 807813 is about 898.7841787660. The cubic root of 807813 is about 93.1330042817.

The spelling of 807813 in words is "eight hundred seven thousand, eight hundred thirteen".