9845 has 8 divisors (see below), whose sum is σ = 12960. Its totient is φ = 7120.

The previous prime is 9839. The next prime is 9851. The reversal of 9845 is 5489.

9845 = T₆ + T₇ + ... + T₃₈.

It is an interprime number because it is at equal distance from previous prime (9839) and next prime (9851).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 9845 - 2⁴ = 9829 is a prime.

It is a plaindrome in base 3 and base 9.

It is a nialpdrome in base 11.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35 + ... + 144.

It is an arithmetic number, because the mean of its divisors is an integer number (1620).

It is an amenable number.

9845 is a deficient number, since it is larger than the sum of its proper divisors (3115).

9845 is a wasteful number, since it uses less digits than its factorization.

9845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195.

The product of its digits is 1440, while the sum is 26.

The square root of 9845 is about 99.2219733728. The cubic root of 9845 is about 21.4324543228.

Multiplying 9845 by its sum of digits (26), we get a triangular number (255970 = T₇₁₅).

Subtracting from 9845 its reverse (5489), we obtain a square (4356 = 66²).

It can be divided in two parts, 984 and 5, that added together give a palindrome (989).

The spelling of 9845 in words is "nine thousand, eight hundred forty-five".