29724 has 12 divisors (see below), whose sum is σ = 69384. Its totient is φ = 9904.

The previous prime is 29723. The next prime is 29741. The reversal of 29724 is 42792.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 29694 and 29703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1227 + ... + 1250.

It is an arithmetic number, because the mean of its divisors is an integer number (5782).

2²⁹⁷²⁴ is an apocalyptic number.

It is an amenable number.

29724 is an abundant number, since it is smaller than the sum of its proper divisors (39660).

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 (34692).

29724 is a wasteful number, since it uses less digits than its factorization.

29724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484 (or 2482 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 29724 is about 172.4064963973. The cubic root of 29724 is about 30.9767428753.

The spelling of 29724 in words is "twenty-nine thousand, seven hundred twenty-four".