29538 has 16 divisors (see below), whose sum is σ = 65760. Its totient is φ = 9828.

The previous prime is 29537. The next prime is 29567. The reversal of 29538 is 83592.

29538 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 29538.

It is not an unprimeable number, because it can be changed into a prime (29531) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220 + ... + 327.

It is an arithmetic number, because the mean of its divisors is an integer number (4110).

2²⁹⁵³⁸ is an apocalyptic number.

29538 is an abundant number, since it is smaller than the sum of its proper divisors (36222).

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 (32880).

29538 is a wasteful number, since it uses less digits than its factorization.

29538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 552 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 29538 is about 171.8662270488. The cubic root of 29538 is about 30.9119945893.

It can be divided in two parts, 295 and 38, that added together give a palindrome (333).

The spelling of 29538 in words is "twenty-nine thousand, five hundred thirty-eight".