23504 has 20 divisors (see below), whose sum is σ = 49476. Its totient is φ = 10752.

The previous prime is 23497. The next prime is 23509. The reversal of 23504 is 40532.

It can be written as a sum of positive squares in 2 ways, for example, as 1600 + 21904 = 40^2 + 148^2 .

23504 is an undulating number in base 15.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23509) by changing a digit.

23504 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 152 + ... + 264.

2²³⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24738).

23504 is an abundant number, since it is smaller than the sum of its proper divisors (25972).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23504 is a wasteful number, since it uses less digits than its factorization.

23504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 128 counting only the distinct ones).

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

The square root of 23504 is about 153.3101431739. The cubic root of 23504 is about 28.6448966379.

The spelling of 23504 in words is "twenty-three thousand, five hundred four".