23835825 has 72 divisors (see below), whose sum is σ = 47731320. Its totient is φ = 11289600.

The previous prime is 23835817. The next prime is 23835827. The reversal of 23835825 is 52853832.

It can be written as a sum of positive squares in 12 ways, for example, as 8225424 + 15610401 = 2868^2 + 3951^2 .

It is not a de Polignac number, because 23835825 - 2³ = 23835817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 23835825.

It is not an unprimeable number, because it can be changed into a prime (23835827) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 84685 + ... + 84965.

It is an arithmetic number, because the mean of its divisors is an integer number (662935).

Almost surely, 2^23835825 is an apocalyptic number.

23835825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

23835825 is the 2610-th nonagonal number.

It is an amenable number.

23835825 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

23835825 is a wasteful number, since it uses less digits than its factorization.

23835825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 331 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 23835825 is about 4882.1946909151. The cubic root of 23835825 is about 287.7906826859.

It can be divided in two parts, 238 and 35825, that added together give a palindrome (36063).

The spelling of 23835825 in words is "twenty-three million, eight hundred thirty-five thousand, eight hundred twenty-five".