82106831 has 2 divisors, whose sum is σ = 82106832. Its totient is φ = 82106830.

The previous prime is 82106779. The next prime is 82106851. The reversal of 82106831 is 13860128.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 82106831 - 2¹⁸ = 81844687 is a prime.

It is a super-2 number, since 2×82106831² = 13483063393725122, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 82106794 and 82106803.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82106851) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41053415 + 41053416.

It is an arithmetic number, because the mean of its divisors is an integer number (41053416).

Almost surely, 2^82106831 is an apocalyptic number.

82106831 is a deficient number, since it is larger than the sum of its proper divisors (1).

82106831 is an equidigital number, since it uses as much as digits as its factorization.

82106831 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 82106831 is about 9061.2819733192. The cubic root of 82106831 is about 434.6367355242.

Adding to 82106831 its reverse (13860128), we get a palindrome (95966959).

The spelling of 82106831 in words is "eighty-two million, one hundred six thousand, eight hundred thirty-one".