13205461 has 2 divisors, whose sum is σ = 13205462. Its totient is φ = 13205460.

The previous prime is 13205419. The next prime is 13205471. The reversal of 13205461 is 16450231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13176900 + 28561 = 3630^2 + 169^2 .

It is a cyclic number.

It is not a de Polignac number, because 13205461 - 2⁹ = 13204949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13205471) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6602730 + 6602731.

It is an arithmetic number, because the mean of its divisors is an integer number (6602731).

Almost surely, 2^13205461 is an apocalyptic number.

It is an amenable number.

13205461 is a deficient number, since it is larger than the sum of its proper divisors (1).

13205461 is an equidigital number, since it uses as much as digits as its factorization.

13205461 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 13205461 is about 3633.9318925924. The cubic root of 13205461 is about 236.3657368963.

Adding to 13205461 its reverse (16450231), we get a palindrome (29655692).

The spelling of 13205461 in words is "thirteen million, two hundred five thousand, four hundred sixty-one".