13832130 has 64 divisors (see below), whose sum is σ = 37013760. Its totient is φ = 3284736.

The previous prime is 13832123. The next prime is 13832141. The reversal of 13832130 is 3123831.

It is a happy number.

13832130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13832097 and 13832106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10699 + ... + 11921.

It is an arithmetic number, because the mean of its divisors is an integer number (578340).

Almost surely, 2^13832130 is an apocalyptic number.

13832130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13832130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18506880).

13832130 is an abundant number, since it is smaller than the sum of its proper divisors (23181630).

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

13832130 is a wasteful number, since it uses less digits than its factorization.

13832130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 13832130 is about 3719.1571625840. The cubic root of 13832130 is about 240.0470393909.

Adding to 13832130 its reverse (3123831), we get a palindrome (16955961).

The spelling of 13832130 in words is "thirteen million, eight hundred thirty-two thousand, one hundred thirty".