11830 has 24 divisors (see below), whose sum is σ = 26352. Its totient is φ = 3744.

The previous prime is 11827. The next prime is 11831. The reversal of 11830 is 3811.

11830 = T₃₆ + T₃₇ + ... + T₄₈.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a plaindrome in base 15.

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 11830.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 904 + ... + 916.

It is an arithmetic number, because the mean of its divisors is an integer number (1098).

11830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11830 is an abundant number, since it is smaller than the sum of its proper divisors (14522).

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 (13176).

11830 is a wasteful number, since it uses less digits than its factorization.

11830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 11830 is about 108.7658034494. The cubic root of 11830 is about 22.7856583656.

It can be divided in two parts, 11 and 830, that added together give a square (841 = 29²).

The spelling of 11830 in words is "eleven thousand, eight hundred thirty".