12864225 has 48 divisors (see below), whose sum is σ = 23998464. Its totient is φ = 6024000.

The previous prime is 12864217. The next prime is 12864227. The reversal of 12864225 is 52246821.

12864225 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12864225 - 2³ = 12864217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12864192 and 12864201.

It is not an unprimeable number, because it can be changed into a prime (12864227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25324 + ... + 25826.

It is an arithmetic number, because the mean of its divisors is an integer number (499968).

Almost surely, 2^12864225 is an apocalyptic number.

12864225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12864225 is a deficient number, since it is larger than the sum of its proper divisors (11134239).

12864225 is a wasteful number, since it uses less digits than its factorization.

12864225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 553 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 12864225 is about 3586.6732496842. The cubic root of 12864225 is about 234.3120061816.

The spelling of 12864225 in words is "twelve million, eight hundred sixty-four thousand, two hundred twenty-five".