13305461 has 12 divisors (see below), whose sum is σ = 14852292. Its totient is φ = 11848704.

The previous prime is 13305451. The next prime is 13305469. The reversal of 13305461 is 16450331.

It is a happy number.

13305461 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 6 ways, for example, as 844561 + 12460900 = 919^2 + 3530^2 .

It is not a de Polignac number, because 13305461 - 2¹⁴ = 13289077 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13305469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10325 + ... + 11541.

It is an arithmetic number, because the mean of its divisors is an integer number (1237691).

Almost surely, 2^13305461 is an apocalyptic number.

It is an amenable number.

13305461 is a deficient number, since it is larger than the sum of its proper divisors (1546831).

13305461 is a wasteful number, since it uses less digits than its factorization.

13305461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 13305461 is about 3647.6651436227. The cubic root of 13305461 is about 236.9608735044.

Adding to 13305461 its reverse (16450331), we get a palindrome (29755792).

The spelling of 13305461 in words is "thirteen million, three hundred five thousand, four hundred sixty-one".