167128617 has 16 divisors (see below), whose sum is σ = 235136000. Its totient is φ = 105298704.

The previous prime is 167128607. The next prime is 167128673. The reversal of 167128617 is 716821761.

It is not a de Polignac number, because 167128617 - 2⁸ = 167128361 is a prime.

It is a super-3 number, since 3×167128617³ (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (167128607) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21684 + ... + 28362.

It is an arithmetic number, because the mean of its divisors is an integer number (14696000).

Almost surely, 2^167128617 is an apocalyptic number.

It is an amenable number.

167128617 is a deficient number, since it is larger than the sum of its proper divisors (68007383).

167128617 is a wasteful number, since it uses less digits than its factorization.

167128617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7140.

The product of its digits is 28224, while the sum is 39.

The square root of 167128617 is about 12927.8233666770. The cubic root of 167128617 is about 550.8291812522.

The spelling of 167128617 in words is "one hundred sixty-seven million, one hundred twenty-eight thousand, six hundred seventeen".