23205 has 32 divisors (see below), whose sum is σ = 48384. Its totient is φ = 9216.

The previous prime is 23203. The next prime is 23209. The reversal of 23205 is 50232.

23205 is nontrivially palindromic in base 4, base 9 and base 16.

It is not a de Polignac number, because 23205 - 2¹ = 23203 is a prime.

It is a Curzon number.

23205 is a lucky number.

It is a nialpdrome in base 13.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23201) 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, 1357 + ... + 1373.

It is an arithmetic number, because the mean of its divisors is an integer number (1512).

2²³²⁰⁵ is an apocalyptic number.

It is an amenable number.

23205 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24192).

23205 is a wasteful number, since it uses less digits than its factorization.

23205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45.

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 23205 is about 152.3318745371. The cubic root of 23205 is about 28.5229117082.

Adding to 23205 its reverse (50232), we get a palindrome (73437).

The spelling of 23205 in words is "twenty-three thousand, two hundred five".