82362 has 32 divisors (see below), whose sum is σ = 196992. Its totient is φ = 22464.

The previous prime is 82361. The next prime is 82373. The reversal of 82362 is 26328.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (82361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1528 + ... + 1580.

It is an arithmetic number, because the mean of its divisors is an integer number (6156).

2⁸²³⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98496).

82362 is an abundant number, since it is smaller than the sum of its proper divisors (114630).

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

82362 is a wasteful number, since it uses less digits than its factorization.

82362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102.

The product of its digits is 576, while the sum is 21.

The square root of 82362 is about 286.9878046189. The cubic root of 82362 is about 43.5086519982.

It can be divided in two parts, 82 and 362, that added together give a palindrome (444).

The spelling of 82362 in words is "eighty-two thousand, three hundred sixty-two".