29304 has 48 divisors (see below), whose sum is σ = 88920. Its totient is φ = 8640.

The previous prime is 29303. The next prime is 29311. The reversal of 29304 is 40392.

Added to its reverse (40392) it gives a square (69696 = 264²).

29304 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29303) 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, 774 + ... + 810.

2²⁹³⁰⁴ is an apocalyptic number.

29304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44460).

29304 is an abundant number, since it is smaller than the sum of its proper divisors (59616).

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

29304 is a wasteful number, since it uses less digits than its factorization.

29304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 29304 is about 171.1841114122. The cubic root of 29304 is about 30.8301498215.

Adding to 29304 its reverse (40392), we get a palindrome (69696).

It can be divided in two parts, 29 and 304, that added together give a palindrome (333).

The spelling of 29304 in words is "twenty-nine thousand, three hundred four".