129384 has 32 divisors (see below), whose sum is σ = 360000. Its totient is φ = 43056.

The previous prime is 129379. The next prime is 129401. The reversal of 129384 is 483921.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a congruent number.

It is an unprimeable number.

129384 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 7 ways as a sum of consecutive naturals, for example, 84 + ... + 515.

It is an arithmetic number, because the mean of its divisors is an integer number (11250).

2¹²⁹³⁸⁴ 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 129384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180000).

129384 is an abundant number, since it is smaller than the sum of its proper divisors (230616).

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

129384 is a wasteful number, since it uses less digits than its factorization.

129384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 604 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 129384 is about 359.6998748957. The cubic root of 129384 is about 50.5778298623.

The spelling of 129384 in words is "one hundred twenty-nine thousand, three hundred eighty-four".