81017 has 2 divisors, whose sum is σ = 81018. Its totient is φ = 81016.

The previous prime is 81013. The next prime is 81019. The reversal of 81017 is 71018.

81017 is nontrivially palindromic in base 2.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80656 + 361 = 284^2 + 19^2 .

It is a cyclic number.

It is not a de Polignac number, because 81017 - 2² = 81013 is a prime.

Together with 81019, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 80986 and 81004.

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 81017.

It is not a weakly prime, because it can be changed into another prime (81013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 40508 + 40509.

It is an arithmetic number, because the mean of its divisors is an integer number (40509).

2⁸¹⁰¹⁷ is an apocalyptic number.

It is an amenable number.

81017 is a deficient number, since it is larger than the sum of its proper divisors (1).

81017 is an equidigital number, since it uses as much as digits as its factorization.

81017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 17.

The square root of 81017 is about 284.6348538040. The cubic root of 81017 is about 43.2705138410.

Subtracting from 81017 its reverse (71018), we obtain a palindrome (9999).

The spelling of 81017 in words is "eighty-one thousand, seventeen".