82810 has 36 divisors (see below), whose sum is σ = 187758. Its totient is φ = 26208.

The previous prime is 82799. The next prime is 82811. The reversal of 82810 is 1828.

It is a happy number.

82810 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 3 ways, for example, as 35721 + 47089 = 189^2 + 217^2 .

It is a super-2 number, since 2×82810² = 13714992200, which contains 22 as substring.

It is a hungry number.

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

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6364 + ... + 6376.

2⁸²⁸¹⁰ is an apocalyptic number.

82810 is an abundant number, since it is smaller than the sum of its proper divisors (104948).

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 (93879).

82810 is a wasteful number, since it uses less digits than its factorization.

82810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 82810 is about 287.7672670753. The cubic root of 82810 is about 43.5873964075.

It can be divided in two parts, 828 and 10, that added together give a palindrome (838).

The spelling of 82810 in words is "eighty-two thousand, eight hundred ten".