12205313 has 2 divisors, whose sum is σ = 12205314. Its totient is φ = 12205312.

The previous prime is 12205309. The next prime is 12205321. The reversal of 12205313 is 31350221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11336689 + 868624 = 3367^2 + 932^2 .

It is a cyclic number.

It is not a de Polignac number, because 12205313 - 2² = 12205309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12205291 and 12205300.

It is not a weakly prime, because it can be changed into another prime (12205343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6102656 + 6102657.

It is an arithmetic number, because the mean of its divisors is an integer number (6102657).

Almost surely, 2^12205313 is an apocalyptic number.

It is an amenable number.

12205313 is a deficient number, since it is larger than the sum of its proper divisors (1).

12205313 is an equidigital number, since it uses as much as digits as its factorization.

12205313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 12205313 is about 3493.6103102664. The cubic root of 12205313 is about 230.2411648094.

Adding to 12205313 its reverse (31350221), we get a palindrome (43555534).

The spelling of 12205313 in words is "twelve million, two hundred five thousand, three hundred thirteen".