820211 has 12 divisors (see below), whose sum is σ = 1005480. Its totient is φ = 665280.

The previous prime is 820201. The next prime is 820213. The reversal of 820211 is 112028.

It is not a de Polignac number, because 820211 - 2¹⁰ = 819187 is a prime.

It is a plaindrome in base 12.

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (820213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 491 + ... + 1371.

It is an arithmetic number, because the mean of its divisors is an integer number (83790).

2⁸²⁰²¹¹ is an apocalyptic number.

820211 is a deficient number, since it is larger than the sum of its proper divisors (185269).

820211 is a wasteful number, since it uses less digits than its factorization.

820211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 820211 is about 905.6550115800. The cubic root of 820211 is about 93.6070437512.

Adding to 820211 its reverse (112028), we get a palindrome (932239).

The spelling of 820211 in words is "eight hundred twenty thousand, two hundred eleven".