16830 has 48 divisors (see below), whose sum is σ = 50544. Its totient is φ = 3840.

The previous prime is 16829. The next prime is 16831. The reversal of 16830 is 3861.

16830 = 56² + 57² + ... + 60².

16830 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

16830 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (16829) and next prime (16831).

It is a Harshad number since it is a multiple of its sum of digits (18).

16830 is an undulating number in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 982 + ... + 998.

It is an arithmetic number, because the mean of its divisors is an integer number (1053).

2¹⁶⁸³⁰ is an apocalyptic number.

16830 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 16830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25272).

16830 is an abundant number, since it is smaller than the sum of its proper divisors (33714).

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

16830 is a wasteful number, since it uses less digits than its factorization.

16830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 16830 is about 129.7304898626. The cubic root of 16830 is about 25.6268192244.

The spelling of 16830 in words is "sixteen thousand, eight hundred thirty".