82114321 has 2 divisors, whose sum is σ = 82114322. Its totient is φ = 82114320.

The previous prime is 82114271. The next prime is 82114339. The reversal of 82114321 is 12341128.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70308225 + 11806096 = 8385^2 + 3436^2 .

It is a cyclic number.

It is not a de Polignac number, because 82114321 - 2¹⁷ = 81983249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82114292 and 82114301.

It is not a weakly prime, because it can be changed into another prime (82114421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41057160 + 41057161.

It is an arithmetic number, because the mean of its divisors is an integer number (41057161).

Almost surely, 2^82114321 is an apocalyptic number.

It is an amenable number.

82114321 is a deficient number, since it is larger than the sum of its proper divisors (1).

82114321 is an equidigital number, since it uses as much as digits as its factorization.

82114321 is an evil number, because the sum of its binary digits is even.

The product of its digits is 384, while the sum is 22.

The square root of 82114321 is about 9061.6952608218. The cubic root of 82114321 is about 434.6499513559.

Adding to 82114321 its reverse (12341128), we get a palindrome (94455449).

The spelling of 82114321 in words is "eighty-two million, one hundred fourteen thousand, three hundred twenty-one".