172605617 has 2 divisors, whose sum is σ = 172605618. Its totient is φ = 172605616.

The previous prime is 172605611. The next prime is 172605619. The reversal of 172605617 is 716506271.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 171505216 + 1100401 = 13096^2 + 1049^2 .

It is a cyclic number.

It is not a de Polignac number, because 172605617 - 2²⁰ = 171557041 is a prime.

Together with 172605619, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (172605611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 86302808 + 86302809.

It is an arithmetic number, because the mean of its divisors is an integer number (86302809).

Almost surely, 2^172605617 is an apocalyptic number.

It is an amenable number.

172605617 is a deficient number, since it is larger than the sum of its proper divisors (1).

172605617 is an equidigital number, since it uses as much as digits as its factorization.

172605617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17640, while the sum is 35.

The square root of 172605617 is about 13137.9456917739. The cubic root of 172605617 is about 556.7817284394.

The spelling of 172605617 in words is "one hundred seventy-two million, six hundred five thousand, six hundred seventeen".