820231 has 2 divisors, whose sum is σ = 820232. Its totient is φ = 820230.

The previous prime is 820223. The next prime is 820241. The reversal of 820231 is 132028.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 820231 - 2³ = 820223 is a prime.

It is a super-2 number, since 2×820231² = 1345557786722, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410115 + 410116.

It is an arithmetic number, because the mean of its divisors is an integer number (410116).

2⁸²⁰²³¹ is an apocalyptic number.

820231 is a deficient number, since it is larger than the sum of its proper divisors (1).

820231 is an equidigital number, since it uses as much as digits as its factorization.

820231 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 820231 is about 905.6660532448. Note that the first 3 decimals coincide. The cubic root of 820231 is about 93.6078045821.

Adding to 820231 its reverse (132028), we get a palindrome (952259).

It can be divided in two parts, 820 and 231, that multiplied together give a triangular number (189420 = T₆₁₅).

The spelling of 820231 in words is "eight hundred twenty thousand, two hundred thirty-one".