82210 has 8 divisors (see below), whose sum is σ = 147996. Its totient is φ = 32880.

The previous prime is 82207. The next prime is 82217. The reversal of 82210 is 1228.

It can be written as a sum of positive squares in 2 ways, for example, as 78961 + 3249 = 281^2 + 57^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (82217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4101 + ... + 4120.

2⁸²²¹⁰ is an apocalyptic number.

82210 is a deficient number, since it is larger than the sum of its proper divisors (65786).

82210 is a wasteful number, since it uses less digits than its factorization.

82210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8228.

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 82210 is about 286.7228627089. The cubic root of 82210 is about 43.4818702801.

Adding to 82210 its reverse (1228), we get a palindrome (83438).

It can be divided in two parts, 82 and 210, that added together give a palindrome (292).

The spelling of 82210 in words is "eighty-two thousand, two hundred ten".