667117017 has 36 divisors (see below), whose sum is σ = 1129106160. Its totient is φ = 378432432.

The previous prime is 667116913. The next prime is 667117039. The reversal of 667117017 is 710711766.

It is not a de Polignac number, because 667117017 - 2¹² = 667112921 is a prime.

It is a super-2 number, since 2×667117017² = 890090228741956578, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (667127017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55858 + ... + 66740.

It is an arithmetic number, because the mean of its divisors is an integer number (31364060).

Almost surely, 2^667117017 is an apocalyptic number.

It is an amenable number.

667117017 is a deficient number, since it is larger than the sum of its proper divisors (461989143).

667117017 is a wasteful number, since it uses less digits than its factorization.

667117017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11042 (or 11032 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 36.

The square root of 667117017 is about 25828.6084991042. The cubic root of 667117017 is about 873.7771290858. Note that the first 3 decimals are identical.

The spelling of 667117017 in words is "six hundred sixty-seven million, one hundred seventeen thousand, seventeen".