29382 has 16 divisors (see below), whose sum is σ = 60480. Its totient is φ = 9512.

The previous prime is 29363. The next prime is 29383. The reversal of 29382 is 28392.

29382 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29383) 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, 313 + ... + 395.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

2²⁹³⁸² is an apocalyptic number.

29382 is an abundant number, since it is smaller than the sum of its proper divisors (31098).

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 (30240).

29382 is a wasteful number, since it uses less digits than its factorization.

29382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147.

The product of its digits is 864, while the sum is 24.

The square root of 29382 is about 171.4117848924. The cubic root of 29382 is about 30.8574796651.

Subtracting from 29382 its reverse (28392), we obtain a triangular number (990 = T₄₄).

The spelling of 29382 in words is "twenty-nine thousand, three hundred eighty-two".