23001 has 16 divisors (see below), whose sum is σ = 36288. Its totient is φ = 12800.

The previous prime is 22993. The next prime is 23003. The reversal of 23001 is 10032.

It is a 3-Lehmer number, since φ(23001) divides (23001-1)³.

It is a cyclic number.

It is not a de Polignac number, because 23001 - 2³ = 22993 is a prime.

It is a plaindrome in base 12.

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 15 ways as a sum of consecutive naturals, for example, 541 + ... + 581.

It is an arithmetic number, because the mean of its divisors is an integer number (2268).

It is a Poulet number, since it divides 2²³⁰⁰⁰-1.

2²³⁰⁰¹ is an apocalyptic number.

It is an amenable number.

23001 is a deficient number, since it is larger than the sum of its proper divisors (13287).

23001 is a wasteful number, since it uses less digits than its factorization.

23001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72.

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 23001 is about 151.6608057476. The cubic root of 23001 is about 28.4390819472.

Adding to 23001 its reverse (10032), we get a palindrome (33033).

It can be divided in two parts, 2 and 3001, that added together give a palindrome (3003).

The spelling of 23001 in words is "twenty-three thousand, one", and thus it is an iban number.