29082 has 16 divisors (see below), whose sum is σ = 60192. Its totient is φ = 9360.

The previous prime is 29077. The next prime is 29101. The reversal of 29082 is 28092.

It is a nialpdrome in base 14.

It is an unprimeable number.

29082 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, 157 + ... + 287.

It is an arithmetic number, because the mean of its divisors is an integer number (3762).

2²⁹⁰⁸² is an apocalyptic number.

29082 is an abundant number, since it is smaller than the sum of its proper divisors (31110).

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 (30096).

29082 is a wasteful number, since it uses less digits than its factorization.

29082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 29082 is about 170.5344539968. The cubic root of 29082 is about 30.7520984753.

Subtracting from 29082 its reverse (28092), we obtain a triangular number (990 = T₄₄).

The spelling of 29082 in words is "twenty-nine thousand, eighty-two".