13791414 has 96 divisors (see below), whose sum is σ = 35838720. Its totient is φ = 3459456.

The previous prime is 13791409. The next prime is 13791451. The reversal of 13791414 is 41419731.

13791414 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205809 + ... + 205875.

It is an arithmetic number, because the mean of its divisors is an integer number (373320).

Almost surely, 2^13791414 is an apocalyptic number.

13791414 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 13791414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17919360).

13791414 is an abundant number, since it is smaller than the sum of its proper divisors (22047306).

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

13791414 is a wasteful number, since it uses less digits than its factorization.

13791414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 121 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 13791414 is about 3713.6793076409. The cubic root of 13791414 is about 239.8112752457.

The spelling of 13791414 in words is "thirteen million, seven hundred ninety-one thousand, four hundred fourteen".