130824 has 48 divisors (see below), whose sum is σ = 374400. Its totient is φ = 41184.

The previous prime is 130817. The next prime is 130829. The reversal of 130824 is 428031.

It is a happy number.

It is a super-2 number, since 2×130824² = 34229837952, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 130797 and 130806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130829) 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, 1617 + ... + 1695.

It is an arithmetic number, because the mean of its divisors is an integer number (7800).

2¹³⁰⁸²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187200).

130824 is an abundant number, since it is smaller than the sum of its proper divisors (243576).

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

130824 is a wasteful number, since it uses less digits than its factorization.

130824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 130824 is about 361.6960049544. The cubic root of 130824 is about 50.7647760448.

Adding to 130824 its reverse (428031), we get a palindrome (558855).

The spelling of 130824 in words is "one hundred thirty thousand, eight hundred twenty-four".