23541 has 16 divisors (see below), whose sum is σ = 38400. Its totient is φ = 12528.

The previous prime is 23539. The next prime is 23549. The reversal of 23541 is 14532.

23541 is nontrivially palindromic in base 11.

It is not a de Polignac number, because 23541 - 2¹ = 23539 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 23541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 370 + ... + 428.

It is an arithmetic number, because the mean of its divisors is an integer number (2400).

2²³⁵⁴¹ is an apocalyptic number.

23541 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

23541 is a deficient number, since it is larger than the sum of its proper divisors (14859).

23541 is a wasteful number, since it uses less digits than its factorization.

23541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88.

The product of its digits is 120, while the sum is 15.

The square root of 23541 is about 153.4307661455. The cubic root of 23541 is about 28.6599196909.

Subtracting from 23541 its reverse (14532), we obtain a palindrome (9009).

It can be divided in two parts, 235 and 41, that added together give a triangular number (276 = T₂₃).

The spelling of 23541 in words is "twenty-three thousand, five hundred forty-one".