23825 has 6 divisors (see below), whose sum is σ = 29574. Its totient is φ = 19040.

The previous prime is 23819. The next prime is 23827. The reversal of 23825 is 52832.

23825 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1024 + 22801 = 32^2 + 151^2 .

It is not a de Polignac number, because 23825 - 2⁶ = 23761 is a prime.

It is an Ulam number.

It is a Duffinian number.

23825 is strictly pandigital in base 6.

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 23797 and 23806.

It is not an unprimeable number, because it can be changed into a prime (23827) 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 5 ways as a sum of consecutive naturals, for example, 452 + ... + 501.

It is an arithmetic number, because the mean of its divisors is an integer number (4929).

2²³⁸²⁵ is an apocalyptic number.

23825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23825 is a deficient number, since it is larger than the sum of its proper divisors (5749).

23825 is an equidigital number, since it uses as much as digits as its factorization.

23825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 958 counting only the distinct ones).

The product of its digits is 480, while the sum is 20.

The square root of 23825 is about 154.3534904043. The cubic root of 23825 is about 28.7747109537.

It can be divided in two parts, 23 and 825, that added together give a palindrome (848).

The spelling of 23825 in words is "twenty-three thousand, eight hundred twenty-five".