13585842 has 36 divisors (see below), whose sum is σ = 30238650. Its totient is φ = 4408320.

The previous prime is 13585841. The next prime is 13585853. The reversal of 13585842 is 24858531.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 5239521 + 8346321 = 2289^2 + 2889^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13585797 and 13585806.

It is not an unprimeable number, because it can be changed into a prime (13585841) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 30034 + ... + 30482.

Almost surely, 2^13585842 is an apocalyptic number.

13585842 is an abundant number, since it is smaller than the sum of its proper divisors (16652808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13585842 is a wasteful number, since it uses less digits than its factorization.

13585842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 495 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 13585842 is about 3685.8977196878. The cubic root of 13585842 is about 238.6137795523.

The spelling of 13585842 in words is "thirteen million, five hundred eighty-five thousand, eight hundred forty-two".