8330 has 24 divisors (see below), whose sum is σ = 18468. Its totient is φ = 2688.

The previous prime is 8329. The next prime is 8353. The reversal of 8330 is 338.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8281 + 49 = 91^2 + 7^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

8330 is an undulating number in base 13.

It is a Curzon number.

It is a nialpdrome in base 7 and base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 482 + ... + 498.

2⁸³³⁰ is an apocalyptic number.

8330 is an abundant number, since it is smaller than the sum of its proper divisors (10138).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9234).

8330 is a wasteful number, since it uses less digits than its factorization.

8330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 8330 is about 91.2688336728. The cubic root of 8330 is about 20.2713030905.

8330 divided by its sum of digits (14) gives a palindrome (595).

Adding to 8330 its reverse (338), we get a palindrome (8668).

The spelling of 8330 in words is "eight thousand, three hundred thirty".