172131017 has 2 divisors, whose sum is σ = 172131018. Its totient is φ = 172131016.

The previous prime is 172130977. The next prime is 172131019. The reversal of 172131017 is 710131271.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 167547136 + 4583881 = 12944^2 + 2141^2 .

It is an emirp because it is prime and its reverse (710131271) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 172131017 - 2²⁴ = 155353801 is a prime.

Together with 172131019, 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 = 172130983 and 172131001.

It is not a weakly prime, because it can be changed into another prime (172131019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 86065508 + 86065509.

It is an arithmetic number, because the mean of its divisors is an integer number (86065509).

Almost surely, 2^172131017 is an apocalyptic number.

It is an amenable number.

172131017 is a deficient number, since it is larger than the sum of its proper divisors (1).

172131017 is an equidigital number, since it uses as much as digits as its factorization.

172131017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 294, while the sum is 23.

The square root of 172131017 is about 13119.8710740617. The cubic root of 172131017 is about 556.2709471218.

Adding to 172131017 its reverse (710131271), we get a palindrome (882262288).

The spelling of 172131017 in words is "one hundred seventy-two million, one hundred thirty-one thousand, seventeen".