13535841 has 16 divisors (see below), whose sum is σ = 20148480. Its totient is φ = 8011920.

The previous prime is 13535833. The next prime is 13535857. The reversal of 13535841 is 14853531.

It is not a de Polignac number, because 13535841 - 2³ = 13535833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13535799 and 13535808.

It is not an unprimeable number, because it can be changed into a prime (13535831) 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 15 ways as a sum of consecutive naturals, for example, 3351 + ... + 6188.

It is an arithmetic number, because the mean of its divisors is an integer number (1259280).

Almost surely, 2^13535841 is an apocalyptic number.

13535841 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13535841 is a deficient number, since it is larger than the sum of its proper divisors (6612639).

13535841 is a wasteful number, since it uses less digits than its factorization.

13535841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9596.

The product of its digits is 7200, while the sum is 30.

The square root of 13535841 is about 3679.1087235905. The cubic root of 13535841 is about 238.3206902623.

The spelling of 13535841 in words is "thirteen million, five hundred thirty-five thousand, eight hundred forty-one".