9917667167 has 8 divisors (see below), whose sum is σ = 10260901200. Its totient is φ = 9574516224.

The previous prime is 9917667113. The next prime is 9917667181. The reversal of 9917667167 is 7617667199.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9917667167 - 2¹⁴ = 9917650783 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9917667197) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 313448 + ... + 343634.

It is an arithmetic number, because the mean of its divisors is an integer number (1282612650).

Almost surely, 2^9917667167 is an apocalyptic number.

9917667167 is a deficient number, since it is larger than the sum of its proper divisors (343234033).

9917667167 is a wasteful number, since it uses less digits than its factorization.

9917667167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41545.

The product of its digits is 6001128, while the sum is 59.

The square root of 9917667167 is about 99587.4849918402. The cubic root of 9917667167 is about 2148.5056980627.

The spelling of 9917667167 in words is "nine billion, nine hundred seventeen million, six hundred sixty-seven thousand, one hundred sixty-seven".