129924 has 30 divisors (see below), whose sum is σ = 340494. Its totient is φ = 43200.

The previous prime is 129919. The next prime is 129937. The reversal of 129924 is 429921.

It can be written as a sum of positive squares in only one way, i.e., 129600 + 324 = 360^2 + 18^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 124 + ... + 524.

2¹²⁹⁹²⁴ 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 129924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170247).

129924 is an abundant number, since it is smaller than the sum of its proper divisors (210570).

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

129924 is a wasteful number, since it uses less digits than its factorization.

129924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 406 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 129924 is about 360.4497191010. The cubic root of 129924 is about 50.6480964571.

It can be divided in two parts, 12992 and 4, that added together give a square (12996 = 114²).

The spelling of 129924 in words is "one hundred twenty-nine thousand, nine hundred twenty-four".