23506 has 16 divisors (see below), whose sum is σ = 42624. Its totient is φ = 9504.

The previous prime is 23497. The next prime is 23509. The reversal of 23506 is 60532.

It is a self number, because there is not a number n which added to its sum of digits gives 23506.

It is a congruent number.

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

23506 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 7 ways as a sum of consecutive naturals, for example, 286 + ... + 358.

It is an arithmetic number, because the mean of its divisors is an integer number (2664).

2²³⁵⁰⁶ is an apocalyptic number.

23506 is a deficient number, since it is larger than the sum of its proper divisors (19118).

23506 is a wasteful number, since it uses less digits than its factorization.

23506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105.

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 23506 is about 153.3166657608. The cubic root of 23506 is about 28.6457090977.

It can be divided in two parts, 23 and 506, that added together give a square (529 = 23²).

The spelling of 23506 in words is "twenty-three thousand, five hundred six".