13586961 has 8 divisors (see below), whose sum is σ = 19181664. Its totient is φ = 8525120.

The previous prime is 13586941. The next prime is 13586977. The reversal of 13586961 is 16968531.

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 13586961 - 2⁹ = 13586449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13586941) 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, 133155 + ... + 133256.

It is an arithmetic number, because the mean of its divisors is an integer number (2397708).

Almost surely, 2^13586961 is an apocalyptic number.

It is an amenable number.

13586961 is a deficient number, since it is larger than the sum of its proper divisors (5594703).

13586961 is a wasteful number, since it uses less digits than its factorization.

13586961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266431.

The product of its digits is 38880, while the sum is 39.

The square root of 13586961 is about 3686.0495113332. The cubic root of 13586961 is about 238.6203305262.

The spelling of 13586961 in words is "thirteen million, five hundred eighty-six thousand, nine hundred sixty-one".