12837825 has 192 divisors, whose sum is σ = 33331200. Its totient is φ = 4665600.

The previous prime is 12837823. The next prime is 12837833. The reversal of 12837825 is 52873821.

12837825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12837825 - 2¹ = 12837823 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12837825.

It is not an unprimeable number, because it can be changed into a prime (12837821) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 675666 + ... + 675684.

It is an arithmetic number, because the mean of its divisors is an integer number (173600).

Almost surely, 2^12837825 is an apocalyptic number.

12837825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12837825 is an abundant number, since it is smaller than the sum of its proper divisors (20493375).

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

12837825 is a wasteful number, since it uses less digits than its factorization.

12837825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 58 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 12837825 is about 3582.9910689255. The cubic root of 12837825 is about 234.1516111500.

The spelling of 12837825 in words is "twelve million, eight hundred thirty-seven thousand, eight hundred twenty-five".