8946 has 24 divisors (see below), whose sum is σ = 22464. Its totient is φ = 2520.

The previous prime is 8941. The next prime is 8951. The reversal of 8946 is 6498.

8946 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8941) and next prime (8951).

It is not an unprimeable number, because it can be changed into a prime (8941) 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 11 ways as a sum of consecutive naturals, for example, 91 + ... + 161.

It is an arithmetic number, because the mean of its divisors is an integer number (936).

2⁸⁹⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11232).

8946 is an abundant number, since it is smaller than the sum of its proper divisors (13518).

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

8946 is a wasteful number, since it uses less digits than its factorization.

8946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 83 counting only the distinct ones).

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

The square root of 8946 is about 94.5832966226. The cubic root of 8946 is about 20.7591530722.

It can be divided in two parts, 894 and 6, that added together give a square (900 = 30²).

The spelling of 8946 in words is "eight thousand, nine hundred forty-six".