29838 has 8 divisors (see below), whose sum is σ = 59688. Its totient is φ = 9944.

The previous prime is 29837. The next prime is 29851. The reversal of 29838 is 83892.

29838 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

29838 is an admirable number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29833) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2481 + ... + 2492.

It is an arithmetic number, because the mean of its divisors is an integer number (7461).

2²⁹⁸³⁸ is an apocalyptic number.

29838 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (29844).

29838 is a wasteful number, since it uses less digits than its factorization.

29838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4978.

The product of its digits is 3456, while the sum is 30.

The square root of 29838 is about 172.7367939960. The cubic root of 29838 is about 31.0162938970.

The spelling of 29838 in words is "twenty-nine thousand, eight hundred thirty-eight".