23405 has 8 divisors (see below), whose sum is σ = 29184. Its totient is φ = 18000.

The previous prime is 23399. The next prime is 23417. The reversal of 23405 is 50432.

23405 is nontrivially palindromic in base 2 and base 8.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 23405 - 2¹⁰ = 22381 is a prime.

It is a Duffinian number.

It is a Curzon number.

23405 is a nontrivial repdigit in base 8.

It is a plaindrome in base 8.

It is a nialpdrome in base 8 and base 13.

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 23405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80 + ... + 230.

It is an arithmetic number, because the mean of its divisors is an integer number (3648).

2²³⁴⁰⁵ is an apocalyptic number.

It is an amenable number.

23405 is a deficient number, since it is larger than the sum of its proper divisors (5779).

23405 is a wasteful number, since it uses less digits than its factorization.

23405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187.

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 23405 is about 152.9869275461. The cubic root of 23405 is about 28.6046221359.

Adding to 23405 its reverse (50432), we get a palindrome (73837).

The spelling of 23405 in words is "twenty-three thousand, four hundred five".