230805 has 24 divisors (see below), whose sum is σ = 419328. Its totient is φ = 117216.

The previous prime is 230779. The next prime is 230807. The reversal of 230805 is 508032.

230805 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 230805 - 2⁵ = 230773 is a prime.

230805 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 924 + ... + 1146.

It is an arithmetic number, because the mean of its divisors is an integer number (17472).

2²³⁰⁸⁰⁵ is an apocalyptic number.

It is an amenable number.

230805 is a deficient number, since it is larger than the sum of its proper divisors (188523).

230805 is a wasteful number, since it uses less digits than its factorization.

230805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 254 counting only the distinct ones).

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

The square root of 230805 is about 480.4216897685. The cubic root of 230805 is about 61.3406543193.

Adding to 230805 its reverse (508032), we get a palindrome (738837).

It can be divided in two parts, 230 and 805, that added together give a triangular number (1035 = T₄₅).

The spelling of 230805 in words is "two hundred thirty thousand, eight hundred five".