172117013 has 2 divisors, whose sum is σ = 172117014. Its totient is φ = 172117012.

The previous prime is 172116979. The next prime is 172117019. The reversal of 172117013 is 310711271.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 161213809 + 10903204 = 12697^2 + 3302^2 .

It is a cyclic number.

It is not a de Polignac number, because 172117013 - 2⁸ = 172116757 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 172117013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (172117019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 86058506 + 86058507.

It is an arithmetic number, because the mean of its divisors is an integer number (86058507).

Almost surely, 2^172117013 is an apocalyptic number.

It is an amenable number.

172117013 is a deficient number, since it is larger than the sum of its proper divisors (1).

172117013 is an equidigital number, since it uses as much as digits as its factorization.

172117013 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 172117013 is about 13119.3373689375. The cubic root of 172117013 is about 556.2558612689.

Adding to 172117013 its reverse (310711271), we get a palindrome (482828284).

The spelling of 172117013 in words is "one hundred seventy-two million, one hundred seventeen thousand, thirteen".