9875 has 8 divisors (see below), whose sum is σ = 12480. Its totient is φ = 7800.

The previous prime is 9871. The next prime is 9883. The reversal of 9875 is 5789.

It can be divided in two parts, 9 and 875, that multiplied together give a triangular number (7875 = T_{125}).

It is a happy number.

9875 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 9875 - 2^{2} = 9871 is a prime.

Its product of digits (2520) is a multiple of the sum of its prime divisors (84).

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.

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 7 ways as a sum of consecutive naturals, for example, 86 + ... + 164.

It is an arithmetic number, because the mean of its divisors is an integer number (1560).

2^{9875} is an apocalyptic number.

9875 is a deficient number, since it is larger than the sum of its proper divisors (2605).

9875 is an equidigital number, since it uses as much as digits as its factorization.

9875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 84 counting only the distinct ones).

The product of its digits is 2520, while the sum is 29.

The square root of 9875 is about 99.3730345718. The cubic root of 9875 is about 21.4542021351.

The spelling of 9875 in words is "nine thousand, eight hundred seventy-five".

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