23625 has 32 divisors (see below), whose sum is σ = 49920. Its totient is φ = 10800.

The previous prime is 23623. The next prime is 23627. The reversal of 23625 is 52632.

It is an interprime number because it is at equal distance from previous prime (23623) and next prime (23627).

It is not a de Polignac number, because 23625 - 2¹ = 23623 is a prime.

Its product of digits (360) is a multiple of the sum of its prime divisors (15).

It is a Curzon number.

It is a nialpdrome in base 14 and base 15.

It is a zygodrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 23598 and 23607.

It is not an unprimeable number, because it can be changed into a prime (23623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3372 + ... + 3378.

It is an arithmetic number, because the mean of its divisors is an integer number (1560).

2²³⁶²⁵ is an apocalyptic number.

23625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23625 is an abundant number, since it is smaller than the sum of its proper divisors (26295).

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 (24960).

23625 is an equidigital number, since it uses as much as digits as its factorization.

23625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31 (or 15 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 23625 is about 153.7042614894. The cubic root of 23625 is about 28.6939677416.

The spelling of 23625 in words is "twenty-three thousand, six hundred twenty-five".