820311 has 8 divisors (see below), whose sum is σ = 1119360. Its totient is φ = 534072.

The previous prime is 820279. The next prime is 820319. The reversal of 820311 is 113028.

It is a happy number.

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

It is not a de Polignac number, because 820311 - 2⁵ = 820279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820319) 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, 3051 + ... + 3308.

It is an arithmetic number, because the mean of its divisors is an integer number (139920).

2⁸²⁰³¹¹ is an apocalyptic number.

820311 is a deficient number, since it is larger than the sum of its proper divisors (299049).

820311 is a wasteful number, since it uses less digits than its factorization.

820311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6405.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 820311 is about 905.7102185578. The cubic root of 820311 is about 93.6108477821.

Adding to 820311 its reverse (113028), we get a palindrome (933339).

The spelling of 820311 in words is "eight hundred twenty thousand, three hundred eleven".