32382 has 24 divisors (see below), whose sum is σ = 80496. Its totient is φ = 9216.

The previous prime is 32381. The next prime is 32401. The reversal of 32382 is 28323.

It is a Harshad number since it is a multiple of its sum of digits (18).

32382 is an undulating number in base 16.

It is a plaindrome in base 11.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32381) 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, 3 + ... + 254.

It is an arithmetic number, because the mean of its divisors is an integer number (3354).

2³²³⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40248).

32382 is an abundant number, since it is smaller than the sum of its proper divisors (48114).

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

32382 is a wasteful number, since it uses less digits than its factorization.

32382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 269 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 32382 is about 179.9499930536. The cubic root of 32382 is about 31.8738523232.

Adding to 32382 its sum of digits (18), we get a square (32400 = 180²).

It can be divided in two parts, 3238 and 2, that added together give a triangular number (3240 = T₈₀).

The spelling of 32382 in words is "thirty-two thousand, three hundred eighty-two".