82818 has 24 divisors (see below), whose sum is σ = 185328. Its totient is φ = 26712.

The previous prime is 82813. The next prime is 82837. The reversal of 82818 is 81828.

It is a super-2 number, since 2×82818² = 13717642248, which contains 22 as substring.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 82791 and 82800.

It is not an unprimeable number, because it can be changed into a prime (82811) by changing a digit.

82818 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 11 ways as a sum of consecutive naturals, for example, 721 + ... + 827.

It is an arithmetic number, because the mean of its divisors is an integer number (7722).

2⁸²⁸¹⁸ is an apocalyptic number.

82818 is an abundant number, since it is smaller than the sum of its proper divisors (102510).

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 (92664).

82818 is a wasteful number, since it uses less digits than its factorization.

82818 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 155 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

The square root of 82818 is about 287.7811668612. The cubic root of 82818 is about 43.5887999737.

Subtracting from 82818 its reverse (81828), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 82 and 818, that multiplied together give a palindrome (67076).

The spelling of 82818 in words is "eighty-two thousand, eight hundred eighteen".