13584042 has 24 divisors (see below), whose sum is σ = 29933280. Its totient is φ = 4450920.

The previous prime is 13584023. The next prime is 13584061. The reversal of 13584042 is 24048531.

It is an interprime number because it is at equal distance from previous prime (13584023) and next prime (13584061).

It is a junction number, because it is equal to n+sod(n) for n = 13583997 and 13584015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5334 + ... + 7457.

It is an arithmetic number, because the mean of its divisors is an integer number (1247220).

Almost surely, 2^13584042 is an apocalyptic number.

13584042 is an abundant number, since it is smaller than the sum of its proper divisors (16349238).

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

13584042 is a wasteful number, since it uses less digits than its factorization.

13584042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12858 (or 12855 counting only the distinct ones).

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

The square root of 13584042 is about 3685.6535377054. The cubic root of 13584042 is about 238.6032410379.

The spelling of 13584042 in words is "thirteen million, five hundred eighty-four thousand, forty-two".