82010 has 16 divisors (see below), whose sum is σ = 151200. Its totient is φ = 32016.

The previous prime is 82009. The next prime is 82013. The reversal of 82010 is 1028.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 81982 and 82000.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 82010.

It is not an unprimeable number, because it can be changed into a prime (82013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 521 + ... + 659.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2⁸²⁰¹⁰ is an apocalyptic number.

82010 is a deficient number, since it is larger than the sum of its proper divisors (69190).

82010 is a wasteful number, since it uses less digits than its factorization.

82010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205.

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 82010 is about 286.3738814906. The cubic root of 82010 is about 43.4465808353.

Adding to 82010 its reverse (1028), we get a palindrome (83038).

The spelling of 82010 in words is "eighty-two thousand, ten".