13830 has 16 divisors (see below), whose sum is σ = 33264. Its totient is φ = 3680.

The previous prime is 13829. The next prime is 13831. The reversal of 13830 is 3831.

It is an interprime number because it is at equal distance from previous prime (13829) and next prime (13831).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201 + ... + 260.

It is an arithmetic number, because the mean of its divisors is an integer number (2079).

2¹³⁸³⁰ is an apocalyptic number.

13830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13830 is an abundant number, since it is smaller than the sum of its proper divisors (19434).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16632).

13830 is a wasteful number, since it uses less digits than its factorization.

13830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 13830 is about 117.6010204037. The cubic root of 13830 is about 24.0034717200.

Subtracting from 13830 its reverse (3831), we obtain a palindrome (9999).

The spelling of 13830 in words is "thirteen thousand, eight hundred thirty".