820271 has 2 divisors, whose sum is σ = 820272. Its totient is φ = 820270.

The previous prime is 820247. The next prime is 820273. The reversal of 820271 is 172028.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-820271 is a prime.

Together with 820273, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820273) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410135 + 410136.

It is an arithmetic number, because the mean of its divisors is an integer number (410136).

2⁸²⁰²⁷¹ is an apocalyptic number.

820271 is a deficient number, since it is larger than the sum of its proper divisors (1).

820271 is an equidigital number, since it uses as much as digits as its factorization.

820271 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 820271 is about 905.6881361705. The cubic root of 820271 is about 93.6093262069.

Adding to 820271 its reverse (172028), we get a palindrome (992299).

It can be divided in two parts, 82027 and 1, that added together give a palindrome (82028).

The spelling of 820271 in words is "eight hundred twenty thousand, two hundred seventy-one".