23538 has 8 divisors (see below), whose sum is σ = 47088. Its totient is φ = 7844.

The previous prime is 23537. The next prime is 23539. The reversal of 23538 is 83532.

23538 is nontrivially palindromic in base 9.

It is an interprime number because it is at equal distance from previous prime (23537) and next prime (23539).

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

23538 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (23531) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1956 + ... + 1967.

It is an arithmetic number, because the mean of its divisors is an integer number (5886).

2²³⁵³⁸ is an apocalyptic number.

23538 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 (23544).

23538 is a wasteful number, since it uses less digits than its factorization.

23538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3928.

The product of its digits is 720, while the sum is 21.

The square root of 23538 is about 153.4209894376. The cubic root of 23538 is about 28.6587021922.

It can be divided in two parts, 23 and 538, that added together give a triangular number (561 = T₃₃).

The spelling of 23538 in words is "twenty-three thousand, five hundred thirty-eight".