8231 has 2 divisors, whose sum is σ = 8232. Its totient is φ = 8230.

The previous prime is 8221. The next prime is 8233. The reversal of 8231 is 1328.

Adding to 8231 its reverse (1328), we get a palindrome (9559).

Subtracting from 8231 its reverse (1328), we obtain a triangular number (6903 = T_{117}).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 8231 - 2^{6} = 8167 is a prime.

It is a super-2 number, since 2×8231^{2} = 135498722, which contains 22 as substring.

Together with 8233, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 9, base 14 and base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 8231.

It is not a weakly prime, because it can be changed into another prime (8233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4115 + 4116.

It is an arithmetic number, because the mean of its divisors is an integer number (4116).

2^{8231} is an apocalyptic number.

8231 is a deficient number, since it is larger than the sum of its proper divisors (1).

8231 is an equidigital number, since it uses as much as digits as its factorization.

8231 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 48, while the sum is 14.

The square root of 8231 is about 90.7248587764. The cubic root of 8231 is about 20.1906763494.

The spelling of 8231 in words is "eight thousand, two hundred thirty-one".

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