9876 has 12 divisors (see below), whose sum is σ = 23072. Its totient is φ = 3288.

The previous prime is 9871. The next prime is 9883. The reversal of 9876 is 6789.

9876 = T₃ + T₄ + ... + T₃₈.

It is a happy number.

9876 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (12).

It is an alternating number because its digits alternate between odd and even.

It is a straight-line number, since its digits are in arithmetic progression.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9871) by changing a digit.

9876 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 400 + ... + 423.

2⁹⁸⁷⁶ is an apocalyptic number.

It is an amenable number.

9876 is an abundant number, since it is smaller than the sum of its proper divisors (13196).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11536).

9876 is a wasteful number, since it uses less digits than its factorization.

9876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 828 counting only the distinct ones).

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

The square root of 9876 is about 99.3780659904. The cubic root of 9876 is about 21.4549263032.

The spelling of 9876 in words is "nine thousand, eight hundred seventy-six".