172166117 has 2 divisors, whose sum is σ = 172166118. Its totient is φ = 172166116.

The previous prime is 172166077. The next prime is 172166149. The reversal of 172166117 is 711661271.

It is an a-pointer prime, because the next prime (172166149) can be obtained adding 172166117 to its sum of digits (32).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 172160641 + 5476 = 13121^2 + 74^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-172166117 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (172166177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 86083058 + 86083059.

It is an arithmetic number, because the mean of its divisors is an integer number (86083059).

Almost surely, 2^172166117 is an apocalyptic number.

It is an amenable number.

172166117 is a deficient number, since it is larger than the sum of its proper divisors (1).

172166117 is an equidigital number, since it uses as much as digits as its factorization.

172166117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3528, while the sum is 32.

The square root of 172166117 is about 13121.2086714601. The cubic root of 172166117 is about 556.3087551117.

The spelling of 172166117 in words is "one hundred seventy-two million, one hundred sixty-six thousand, one hundred seventeen".