163830 has 32 divisors (see below), whose sum is σ = 405504. Its totient is φ = 42336.

The previous prime is 163819. The next prime is 163841. The reversal of 163830 is 38361.

163830 is nontrivially palindromic in base 4.

It is an interprime number because it is at equal distance from previous prime (163819) and next prime (163841).

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 163797 and 163806.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 163830.

It is an unprimeable number.

163830 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1227 + ... + 1353.

It is an arithmetic number, because the mean of its divisors is an integer number (12672).

2¹⁶³⁸³⁰ is an apocalyptic number.

163830 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 163830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202752).

163830 is an abundant number, since it is smaller than the sum of its proper divisors (241674).

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

163830 is a wasteful number, since it uses less digits than its factorization.

163830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180.

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

The square root of 163830 is about 404.7591876660. The cubic root of 163830 is about 54.7181170054.

The spelling of 163830 in words is "one hundred sixty-three thousand, eight hundred thirty".