93216 has 24 divisors (see below), whose sum is σ = 244944. Its totient is φ = 31040.

The previous prime is 93199. The next prime is 93229. The reversal of 93216 is 61239.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 93192 and 93201.

It is an unprimeable number.

93216 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 3 ways as a sum of consecutive naturals, for example, 390 + ... + 581.

It is an arithmetic number, because the mean of its divisors is an integer number (10206).

2⁹³²¹⁶ is an apocalyptic number.

93216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

93216 is an abundant number, since it is smaller than the sum of its proper divisors (151728).

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 (122472).

93216 is a wasteful number, since it uses less digits than its factorization.

93216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 976 counting only the distinct ones).

The product of its digits is 324, while the sum is 21.

The square root of 93216 is about 305.3129541962. The cubic root of 93216 is about 45.3415978781.

The spelling of 93216 in words is "ninety-three thousand, two hundred sixteen".