8948 has 6 divisors (see below), whose sum is σ = 15666. Its totient is φ = 4472.

The previous prime is 8941. The next prime is 8951. The reversal of 8948 is 8498.

8948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8464 + 484 = 92^2 + 22^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8948.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8941) by changing a digit.

8948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 1115 + ... + 1122.

It is an arithmetic number, because the mean of its divisors is an integer number (2611).

2⁸⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

8948 is a deficient number, since it is larger than the sum of its proper divisors (6718).

8948 is a wasteful number, since it uses less digits than its factorization.

8948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241 (or 2239 counting only the distinct ones).

The product of its digits is 2304, while the sum is 29.

The square root of 8948 is about 94.5938687231. The cubic root of 8948 is about 20.7606999540.

The spelling of 8948 in words is "eight thousand, nine hundred forty-eight".