13585341 has 32 divisors (see below), whose sum is σ = 23574528. Its totient is φ = 6747840.

The previous prime is 13585339. The next prime is 13585379. The reversal of 13585341 is 14358531.

It is not a de Polignac number, because 13585341 - 2¹ = 13585339 is a prime.

It is a super-2 number, since 2×13585341² = 369122980172562, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13585299 and 13585308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13585321) 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, 4035 + ... + 6591.

It is an arithmetic number, because the mean of its divisors is an integer number (736704).

Almost surely, 2^13585341 is an apocalyptic number.

13585341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13585341 is a deficient number, since it is larger than the sum of its proper divisors (9989187).

13585341 is a wasteful number, since it uses less digits than its factorization.

13585341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2601.

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

The square root of 13585341 is about 3685.8297573274. The cubic root of 13585341 is about 238.6108464260.

The spelling of 13585341 in words is "thirteen million, five hundred eighty-five thousand, three hundred forty-one".