9687667 has 8 divisors (see below), whose sum is σ = 10590912. Its totient is φ = 8788200.

The previous prime is 9687661. The next prime is 9687697. The reversal of 9687667 is 7667869.

9687667 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 9687667 - 2⁷ = 9687539 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9687667.

It is not an unprimeable number, because it can be changed into a prime (9687661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9492 + ... + 10462.

It is an arithmetic number, because the mean of its divisors is an integer number (1323864).

Almost surely, 2^9687667 is an apocalyptic number.

9687667 is a deficient number, since it is larger than the sum of its proper divisors (903245).

9687667 is a wasteful number, since it uses less digits than its factorization.

9687667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889.

The product of its digits is 762048, while the sum is 49.

The square root of 9687667 is about 3112.5017269072. The cubic root of 9687667 is about 213.1766995317.

The spelling of 9687667 in words is "nine million, six hundred eighty-seven thousand, six hundred sixty-seven".