82231 has 2 divisors, whose sum is σ = 82232. Its totient is φ = 82230.

The previous prime is 82223. The next prime is 82237. The reversal of 82231 is 13228.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 82231 - 2³ = 82223 is a prime.

It is a super-2 number, since 2×82231² = 13523874722, which contains 22 as substring.

82231 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41115 + 41116.

It is an arithmetic number, because the mean of its divisors is an integer number (41116).

2⁸²²³¹ is an apocalyptic number.

82231 is a deficient number, since it is larger than the sum of its proper divisors (1).

82231 is an equidigital number, since it uses as much as digits as its factorization.

82231 is an evil number, because the sum of its binary digits is even.

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

The square root of 82231 is about 286.7594810987. The cubic root of 82231 is about 43.4855723501.

Subtracting from 82231 its sum of digits (16), we obtain a triangular number (82215 = T₄₀₅).

Adding to 82231 its reverse (13228), we get a palindrome (95459).

It can be divided in two parts, 82 and 231, that added together give a palindrome (313).

The spelling of 82231 in words is "eighty-two thousand, two hundred thirty-one".