12825 has 24 divisors (see below), whose sum is σ = 24800.
Its totient is φ = 6480.
The previous prime is 12823. The next prime is 12829. The reversal of 12825 is 52821.
It can be divided in two parts, 128 and 25, that added together give a triangular number (153 = T17).
12825 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 12825 - 21 = 12823 is a prime.
It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.
It is a junction number, because it is equal to n+sod(n) for n = 12798 and 12807.
It is not an unprimeable number, because it can be changed into a prime (12821) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 666 + ... + 684.
212825 is an apocalyptic number.
12825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.
12825 is the 57-th decagonal number.
It is an amenable number.
12825 is a deficient number, since it is larger than the sum of its proper divisors (11975).
12825 is a wasteful number, since it uses less digits than its factorization.
12825 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 38 (or 27 counting only the distinct ones).
The product of its digits is 160, while the sum is 18.
The square root of 12825 is about 113.2475165291.
The cubic root of 12825 is about 23.4073612606.
The spelling of 12825 in words is "twelve thousand, eight hundred twenty-five".