667106017 has 8 divisors (see below), whose sum is σ = 702626400. Its totient is φ = 631626624.

The previous prime is 667105987. The next prime is 667106021. The reversal of 667106017 is 710601766.

It is a happy number.

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 667106017 - 2⁷ = 667105889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (667106057) 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, 26598 + ... + 45184.

It is an arithmetic number, because the mean of its divisors is an integer number (87828300).

Almost surely, 2^667106017 is an apocalyptic number.

It is an amenable number.

667106017 is a deficient number, since it is larger than the sum of its proper divisors (35520383).

667106017 is a wasteful number, since it uses less digits than its factorization.

667106017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20495.

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 667106017 is about 25828.3955560542. The cubic root of 667106017 is about 873.7723265294.

It can be divided in two parts, 66710 and 6017, that added together give a palindrome (72727).

The spelling of 667106017 in words is "six hundred sixty-seven million, one hundred six thousand, seventeen".