29000 has 32 divisors (see below), whose sum is σ = 70200. Its totient is φ = 11200.

The previous prime is 28979. The next prime is 29009. The reversal of 29000 is 92.

It can be written as a sum of positive squares in 4 ways, for example, as 8836 + 20164 = 94^2 + 142^2 .

It is a sliding number, since 29000 = 4000 + 25000 and 1/4000 + 1/25000 = 0.00029000.

It is not an unprimeable number, because it can be changed into a prime (29009) by changing a digit.

29000 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, 986 + ... + 1014.

2²⁹⁰⁰⁰ is an apocalyptic number.

29000 is a gapful number since it is divisible by the number (20) 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 29000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35100).

29000 is an abundant number, since it is smaller than the sum of its proper divisors (41200).

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

29000 is a wasteful number, since it uses less digits than its factorization.

29000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 29000 is about 170.2938636593. The cubic root of 29000 is about 30.7231682569.

Subtracting from 29000 its product of nonzero digits (18), we obtain a palindrome (28982).

Adding to 29000 its reverse (92), we get a palindrome (29092).

The spelling of 29000 in words is "twenty-nine thousand".