223905 has 32 divisors (see below), whose sum is σ = 414720. Its totient is φ = 102080.

The previous prime is 223903. The next prime is 223919. The reversal of 223905 is 509322.

223905 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 223905 - 2¹ = 223903 is a prime.

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3766 + ... + 3824.

It is an arithmetic number, because the mean of its divisors is an integer number (12960).

2²²³⁹⁰⁵ is an apocalyptic number.

It is an amenable number.

223905 is a deficient number, since it is larger than the sum of its proper divisors (190815).

223905 is a wasteful number, since it uses less digits than its factorization.

223905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 223905 is about 473.1860099369. The cubic root of 223905 is about 60.7231926297.

It can be divided in two parts, 223 and 905, that added together give a triangular number (1128 = T₄₇).

The spelling of 223905 in words is "two hundred twenty-three thousand, nine hundred five".