23830 has 8 divisors (see below), whose sum is σ = 42912. Its totient is φ = 9528.

The previous prime is 23827. The next prime is 23831. The reversal of 23830 is 3832.

It is a happy number.

23830 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

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

23830 is strictly pandigital in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23831) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1182 + ... + 1201.

It is an arithmetic number, because the mean of its divisors is an integer number (5364).

2²³⁸³⁰ is an apocalyptic number.

23830 is a deficient number, since it is larger than the sum of its proper divisors (19082).

23830 is a wasteful number, since it uses less digits than its factorization.

23830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2390.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 23830 is about 154.3696861434. The cubic root of 23830 is about 28.7767237343.

It can be divided in two parts, 238 and 30, that multiplied together give a triangular number (7140 = T₁₁₉).

The spelling of 23830 in words is "twenty-three thousand, eight hundred thirty".