667707 has 8 divisors (see below), whose sum is σ = 897600. Its totient is φ = 441480.

The previous prime is 667699. The next prime is 667727. The reversal of 667707 is 707766.

It is a happy number.

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

It is not a de Polignac number, because 667707 - 2³ = 667699 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

667707 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 667707.

It is not an unprimeable number, because it can be changed into a prime (667727) 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, 457 + ... + 1242.

It is an arithmetic number, because the mean of its divisors is an integer number (112200).

2⁶⁶⁷⁷⁰⁷ is an apocalyptic number.

667707 is a deficient number, since it is larger than the sum of its proper divisors (229893).

667707 is a wasteful number, since it uses less digits than its factorization.

667707 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833.

The product of its (nonzero) digits is 12348, while the sum is 33.

The square root of 667707 is about 817.1334040412. The cubic root of 667707 is about 87.4034636012.

The spelling of 667707 in words is "six hundred sixty-seven thousand, seven hundred seven".