23005 has 8 divisors (see below), whose sum is σ = 28512. Its totient is φ = 17808.

The previous prime is 23003. The next prime is 23011. The reversal of 23005 is 50032.

23005 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

23005 is a nontrivial binomial coefficient, being equal to C(215, 2).

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

It is a cyclic number.

It is not a de Polignac number, because 23005 - 2¹ = 23003 is a prime.

It is a Duffinian number.

23005 is strictly pandigital in base 6.

It is a plaindrome in base 16.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 22982 and 23000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162 + ... + 268.

It is an arithmetic number, because the mean of its divisors is an integer number (3564).

2²³⁰⁰⁵ is an apocalyptic number.

23005 is the 214-th triangular number.

23005 is the 72-nd centered nonagonal number.

It is an amenable number.

23005 is a deficient number, since it is larger than the sum of its proper divisors (5507).

23005 is a wasteful number, since it uses less digits than its factorization.

23005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155.

The product of its (nonzero) digits is 30, while the sum is 10.

The square root of 23005 is about 151.6739924971. The cubic root of 23005 is about 28.4407304224.

Adding to 23005 its reverse (50032), we get a palindrome (73037).

The spelling of 23005 in words is "twenty-three thousand, five".