39882 has 24 divisors (see below), whose sum is σ = 88416. Its totient is φ = 11968.

The previous prime is 39877. The next prime is 39883. The reversal of 39882 is 28893.

It is a d-powerful number, because it can be written as 3⁸ + 9 + 8³ + 8⁵ + 2⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39883) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1723 + ... + 1745.

It is an arithmetic number, because the mean of its divisors is an integer number (3684).

2³⁹⁸⁸² is an apocalyptic number.

39882 is an abundant number, since it is smaller than the sum of its proper divisors (48534).

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 (44208).

39882 is a wasteful number, since it uses less digits than its factorization.

39882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 45 counting only the distinct ones).

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

The square root of 39882 is about 199.7047821160. The cubic root of 39882 is about 34.1658562832.

It can be divided in two parts, 3 and 9882, that multiplied together give a triangular number (29646 = T₂₄₃).

The spelling of 39882 in words is "thirty-nine thousand, eight hundred eighty-two".