9867 has 16 divisors (see below), whose sum is σ = 16128. Its totient is φ = 5280.

The previous prime is 9859. The next prime is 9871. The reversal of 9867 is 7689.

It is a happy number.

9867 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9867 - 2³ = 9859 is a prime.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9817) 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 15 ways as a sum of consecutive naturals, for example, 418 + ... + 440.

It is an arithmetic number, because the mean of its divisors is an integer number (1008).

2⁹⁸⁶⁷ is an apocalyptic number.

9867 is a deficient number, since it is larger than the sum of its proper divisors (6261).

9867 is a wasteful number, since it uses less digits than its factorization.

9867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50.

The product of its digits is 3024, while the sum is 30.

The square root of 9867 is about 99.3327740476. The cubic root of 9867 is about 21.4484070301.

The spelling of 9867 in words is "nine thousand, eight hundred sixty-seven".