12205825 has 6 divisors (see below), whose sum is σ = 15135254. Its totient is φ = 9764640.

The previous prime is 12205799. The next prime is 12205829. The reversal of 12205825 is 52850221.

12205825 is digitally balanced in base 2, 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 46656 + 12159169 = 216^2 + 3487^2 .

It is not a de Polignac number, because 12205825 - 2⁵ = 12205793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25), and also a Moran number because the ratio is a prime number: 488233 = 12205825 / (1 + 2 + 2 + 0 + 5 + 8 + 2 + 5).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12205825.

It is not an unprimeable number, because it can be changed into a prime (12205829) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 244092 + ... + 244141.

Almost surely, 2^12205825 is an apocalyptic number.

It is an amenable number.

12205825 is a deficient number, since it is larger than the sum of its proper divisors (2929429).

12205825 is an equidigital number, since it uses as much as digits as its factorization.

12205825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488243 (or 488238 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 12205825 is about 3493.6835861308. The cubic root of 12205825 is about 230.2443842224.

The spelling of 12205825 in words is "twelve million, two hundred five thousand, eight hundred twenty-five".