13405842 has 18 divisors (see below), whose sum is σ = 29079687. Its totient is φ = 4463436.

The previous prime is 13405823. The next prime is 13405853. The reversal of 13405842 is 24850431.

It can be written as a sum of positive squares in only one way, i.e., 6702921 + 6702921 = 2589^2 + 2589^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2589.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 15103 + ... + 15965.

Almost surely, 2^13405842 is an apocalyptic number.

13405842 is an abundant number, since it is smaller than the sum of its proper divisors (15673845).

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

13405842 is an frugal number, since it uses more digits than its factorization.

13405842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 13405842 is about 3661.3989129839. The cubic root of 13405842 is about 237.5552861136. Note that the first 3 decimals are identical.

The spelling of 13405842 in words is "thirteen million, four hundred five thousand, eight hundred forty-two".