9846 has 12 divisors (see below), whose sum is σ = 21372. Its totient is φ = 3276.

The previous prime is 9839. The next prime is 9851. The reversal of 9846 is 6489.

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 256 + ... + 291.

It is an arithmetic number, because the mean of its divisors is an integer number (1781).

2⁹⁸⁴⁶ is an apocalyptic number.

9846 is an abundant number, since it is smaller than the sum of its proper divisors (11526).

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

9846 is a wasteful number, since it uses less digits than its factorization.

9846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 552 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 9846 is about 99.2270124512. The cubic root of 9846 is about 21.4331799612.

Subtracting from 9846 its product of digits (1728), we obtain a palindrome (8118).

It can be divided in two parts, 984 and 6, that added together give a triangular number (990 = T₄₄).

The spelling of 9846 in words is "nine thousand, eight hundred forty-six".