96306 has 16 divisors (see below), whose sum is σ = 220224. Its totient is φ = 27504.

The previous prime is 96293. The next prime is 96323. The reversal of 96306 is 60369.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 96306.

It is an unprimeable number.

96306 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1105 + ... + 1188.

It is an arithmetic number, because the mean of its divisors is an integer number (13764).

2⁹⁶³⁰⁶ is an apocalyptic number.

96306 is an abundant number, since it is smaller than the sum of its proper divisors (123918).

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 (110112).

96306 is a wasteful number, since it uses less digits than its factorization.

96306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305.

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 96306 is about 310.3320801980. The cubic root of 96306 is about 45.8371684578.

Subtracting from 96306 its reverse (60369), we obtain a cube (35937 = 33³).

The spelling of 96306 in words is "ninety-six thousand, three hundred six".