800523 has 10 divisors (see below), whose sum is σ = 1195964. Its totient is φ = 533628.

The previous prime is 800521. The next prime is 800533. The reversal of 800523 is 325008.

800523 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 800523 - 2¹ = 800521 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 800496 and 800505.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 800523.

It is not an unprimeable number, because it can be changed into a prime (800521) 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, 4861 + ... + 5022.

2⁸⁰⁰⁵²³ is an apocalyptic number.

800523 is a deficient number, since it is larger than the sum of its proper divisors (395441).

800523 is an equidigital number, since it uses as much as digits as its factorization.

800523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9895 (or 9886 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 800523 is about 894.7195091200. The cubic root of 800523 is about 92.8520018568.

The spelling of 800523 in words is "eight hundred thousand, five hundred twenty-three".