96330 has 48 divisors (see below), whose sum is σ = 263520. Its totient is φ = 22464.

The previous prime is 96329. The next prime is 96331. The reversal of 96330 is 3369.

96330 = 80² + 81² + ... + 92².

It is an interprime number because it is at equal distance from previous prime (96329) and next prime (96331).

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 96297 and 96306.

It is not an unprimeable number, because it can be changed into a prime (96331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5061 + ... + 5079.

It is an arithmetic number, because the mean of its divisors is an integer number (5490).

2⁹⁶³³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131760).

96330 is an abundant number, since it is smaller than the sum of its proper divisors (167190).

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

96330 is a wasteful number, since it uses less digits than its factorization.

96330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

The square root of 96330 is about 310.3707460441. The cubic root of 96330 is about 45.8409757688.

Adding to 96330 its reverse (3369), we get a palindrome (99699).

The spelling of 96330 in words is "ninety-six thousand, three hundred thirty".