805023 has 12 divisors (see below), whose sum is σ = 1213680. Its totient is φ = 513216.

The previous prime is 805019. The next prime is 805027. The reversal of 805023 is 320508.

805023 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (805019) and next prime (805027).

It is not a de Polignac number, because 805023 - 2² = 805019 is a prime.

805023 is a lucky number.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 804987 and 805005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (805027) 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, 1738 + ... + 2151.

It is an arithmetic number, because the mean of its divisors is an integer number (101140).

2⁸⁰⁵⁰²³ is an apocalyptic number.

805023 is a deficient number, since it is larger than the sum of its proper divisors (408657).

805023 is a wasteful number, since it uses less digits than its factorization.

805023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3918 (or 3915 counting only the distinct ones).

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

The square root of 805023 is about 897.2307395537. The cubic root of 805023 is about 93.0256606263.

The spelling of 805023 in words is "eight hundred five thousand, twenty-three".