13201461 has 56 divisors (see below), whose sum is σ = 24483200. Its totient is φ = 6928416.

The previous prime is 13201439. The next prime is 13201483. The reversal of 13201461 is 16410231.

It is a happy number.

13201461 is a `hidden beast` number, since 1 + 3 + 201 + 461 = 666.

It is an interprime number because it is at equal distance from previous prime (13201439) and next prime (13201483).

It is not a de Polignac number, because 13201461 - 2¹⁰ = 13200437 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 (13201411) 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 in 55 ways as a sum of consecutive naturals, for example, 66240 + ... + 66438.

It is an arithmetic number, because the mean of its divisors is an integer number (437200).

Almost surely, 2^13201461 is an apocalyptic number.

It is an amenable number.

13201461 is a deficient number, since it is larger than the sum of its proper divisors (11281739).

13201461 is an equidigital number, since it uses as much as digits as its factorization.

13201461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13201461 is about 3633.3814828614. The cubic root of 13201461 is about 236.3418690327.

Adding to 13201461 its reverse (16410231), we get a palindrome (29611692).

The spelling of 13201461 in words is "thirteen million, two hundred one thousand, four hundred sixty-one".