82662 has 16 divisors (see below), whose sum is σ = 172800. Its totient is φ = 26312.

The previous prime is 82657. The next prime is 82699. The reversal of 82662 is 26628.

It is a congruent number.

It is an unprimeable number.

82662 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, 162 + ... + 437.

It is an arithmetic number, because the mean of its divisors is an integer number (10800).

2⁸²⁶⁶² is an apocalyptic number.

82662 is an abundant number, since it is smaller than the sum of its proper divisors (90138).

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 (86400).

82662 is a wasteful number, since it uses less digits than its factorization.

82662 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627.

The product of its digits is 1152, while the sum is 24.

The square root of 82662 is about 287.5099998261. The cubic root of 82662 is about 43.5614141124.

It can be divided in two parts, 826 and 62, that added together give a palindrome (888).

The spelling of 82662 in words is "eighty-two thousand, six hundred sixty-two".