13835934 has 96 divisors (see below), whose sum is σ = 36691200. Its totient is φ = 3905496.

The previous prime is 13835923. The next prime is 13835953. The reversal of 13835934 is 43953831.

It is a zygodrome in base 3.

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, 166657 + ... + 166739.

It is an arithmetic number, because the mean of its divisors is an integer number (382200).

Almost surely, 2^13835934 is an apocalyptic number.

13835934 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 13835934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18345600).

13835934 is an abundant number, since it is smaller than the sum of its proper divisors (22855266).

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

13835934 is an frugal number, since it uses more digits than its factorization.

13835934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 95 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 13835934 is about 3719.6685336196. The cubic root of 13835934 is about 240.0690426361.

The spelling of 13835934 in words is "thirteen million, eight hundred thirty-five thousand, nine hundred thirty-four".