13587641 has 32 divisors (see below), whose sum is σ = 16588800. Its totient is φ = 11024640.

The previous prime is 13587619. The next prime is 13587649. The reversal of 13587641 is 14678531.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13587641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13587649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230270 + ... + 230328.

It is an arithmetic number, because the mean of its divisors is an integer number (518400).

Almost surely, 2^13587641 is an apocalyptic number.

It is an amenable number.

13587641 is a deficient number, since it is larger than the sum of its proper divisors (3001159).

13587641 is a wasteful number, since it uses less digits than its factorization.

13587641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149.

The product of its digits is 20160, while the sum is 35.

The square root of 13587641 is about 3686.1417498517. The cubic root of 13587641 is about 238.6243112819.

The spelling of 13587641 in words is "thirteen million, five hundred eighty-seven thousand, six hundred forty-one".