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8210 has 8 divisors (see below), whose sum is σ = 14796. Its totient is φ = 3280.

The previous prime is 8209. The next prime is 8219. The reversal of 8210 is 128.

Adding to 8210 its reverse (128), we get a palindrome (8338).

It can be written as a sum of positive squares in 2 ways, for example, as 7921 + 289 = 89^2 + 17^2 .

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

It is a Curzon number.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 8191 and 8200.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8210.

It is not an unprimeable number, because it can be changed into a prime (8219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 401 + ... + 420.

28210 is an apocalyptic number.

8210 is a deficient number, since it is larger than the sum of its proper divisors (6586).

8210 is a wasteful number, since it uses less digits than its factorization.

8210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828.

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

The square root of 8210 is about 90.6090503206. The cubic root of 8210 is about 20.1734906973.

The spelling of 8210 in words is "eight thousand, two hundred ten".

Divisors: 1 2 5 10 821 1642 4105 8210