8248 has 8 divisors (see below), whose sum is σ = 15480. Its totient is φ = 4120.

The previous prime is 8243. The next prime is 8263. The reversal of 8248 is 8428.

It is a tau number, because it is divible by the number of its divisors (8).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 508 + ... + 523.

It is an arithmetic number, because the mean of its divisors is an integer number (1935).

2⁸²⁴⁸ is an apocalyptic number.

It is an amenable number.

8248 is a deficient number, since it is larger than the sum of its proper divisors (7232).

8248 is a wasteful number, since it uses less digits than its factorization.

8248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1033 counting only the distinct ones).

The product of its digits is 512, while the sum is 22.

The square root of 8248 is about 90.8185003179. The cubic root of 8248 is about 20.2045671469.

It can be divided in two parts, 8 and 248, that added together give a 8-th power (256 = 2⁸).

The spelling of 8248 in words is "eight thousand, two hundred forty-eight".