667667 has 32 divisors (see below), whose sum is σ = 967680. Its totient is φ = 443520.

The previous prime is 667657. The next prime is 667673. The reversal of 667667 is 766766.

It is not a de Polignac number, because 667667 - 2¹⁰ = 666643 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 667667.

It is not an unprimeable number, because it can be changed into a prime (667657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23009 + ... + 23037.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2⁶⁶⁷⁶⁶⁷ is an apocalyptic number.

667667 is a deficient number, since it is larger than the sum of its proper divisors (300013).

667667 is a wasteful number, since it uses less digits than its factorization.

667667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83.

The product of its digits is 63504, while the sum is 38.

The square root of 667667 is about 817.1089278670. The cubic root of 667667 is about 87.4017182207.

Subtracting 667667 from its reverse (766766), we obtain a palindrome (99099).

The spelling of 667667 in words is "six hundred sixty-seven thousand, six hundred sixty-seven".