13536641 has 8 divisors (see below), whose sum is σ = 14482440. Its totient is φ = 12607488.

The previous prime is 13536637. The next prime is 13536643. The reversal of 13536641 is 14663531.

It is a happy number.

13536641 is digitally balanced in base 3, 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 4 ways, for example, as 863041 + 12673600 = 929^2 + 3560^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13536641 - 2² = 13536637 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13536643) 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 7 ways as a sum of consecutive naturals, for example, 2456 + ... + 5753.

It is an arithmetic number, because the mean of its divisors is an integer number (1810305).

Almost surely, 2^13536641 is an apocalyptic number.

It is an amenable number.

13536641 is a deficient number, since it is larger than the sum of its proper divisors (945799).

13536641 is an equidigital number, since it uses as much as digits as its factorization.

13536641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8323.

The product of its digits is 6480, while the sum is 29.

The square root of 13536641 is about 3679.2174439682. The cubic root of 13536641 is about 238.3253852740.

The spelling of 13536641 in words is "thirteen million, five hundred thirty-six thousand, six hundred forty-one".