29052 has 24 divisors (see below), whose sum is σ = 75600. Its totient is φ = 9648.

The previous prime is 29033. The next prime is 29059. The reversal of 29052 is 25092.

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

It is an alternating number because its digits alternate between even and odd.

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 (29059) by changing a digit.

29052 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, 27 + ... + 242.

It is an arithmetic number, because the mean of its divisors is an integer number (3150).

2²⁹⁰⁵² 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 29052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37800).

29052 is an abundant number, since it is smaller than the sum of its proper divisors (46548).

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

29052 is a wasteful number, since it uses less digits than its factorization.

29052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 29052 is about 170.4464725361. The cubic root of 29052 is about 30.7415205650.

The spelling of 29052 in words is "twenty-nine thousand, fifty-two".