13527834 has 16 divisors (see below), whose sum is σ = 27125280. Its totient is φ = 4497680.

The previous prime is 13527817. The next prime is 13527847. The reversal of 13527834 is 43872531.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13527795 and 13527804.

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 7 ways as a sum of consecutive naturals, for example, 177 + ... + 5204.

It is an arithmetic number, because the mean of its divisors is an integer number (1695330).

Almost surely, 2^13527834 is an apocalyptic number.

13527834 is an abundant number, since it is smaller than the sum of its proper divisors (13597446).

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

13527834 is a wasteful number, since it uses less digits than its factorization.

13527834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5805.

The product of its digits is 20160, while the sum is 33.

The square root of 13527834 is about 3678.0203914606. The cubic root of 13527834 is about 238.2736888691.

Subtracting from 13527834 its sum of digits (33), we obtain a triangular number (13527801 = T₅₂₀₁).

The spelling of 13527834 in words is "thirteen million, five hundred twenty-seven thousand, eight hundred thirty-four".