13791834 has 72 divisors (see below), whose sum is σ = 36635040. Its totient is φ = 3728592.

The previous prime is 13791829. The next prime is 13791857. The reversal of 13791834 is 43819731.

It is a happy number.

13791834 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (18144) is a multiple of the sum of its prime factors (864).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16347 + ... + 17169.

It is an arithmetic number, because the mean of its divisors is an integer number (508820).

Almost surely, 2^13791834 is an apocalyptic number.

13791834 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13791834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18317520).

13791834 is an abundant number, since it is smaller than the sum of its proper divisors (22843206).

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

13791834 is a wasteful number, since it uses less digits than its factorization.

13791834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 854 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 13791834 is about 3713.7358549041. The cubic root of 13791834 is about 239.8137096036.

The spelling of 13791834 in words is "thirteen million, seven hundred ninety-one thousand, eight hundred thirty-four".