933216 has 24 divisors (see below), whose sum is σ = 2449944. Its totient is φ = 311040.

The previous prime is 933209. The next prime is 933217. The reversal of 933216 is 612339.

933216 = 318² + 319² + ... + 326².

933216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×933216³ = 2438191333416665088, which contains 333 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 933216.

It is not an unprimeable number, because it can be changed into a prime (933217) by changing a digit.

933216 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, 4765 + ... + 4956.

It is an arithmetic number, because the mean of its divisors is an integer number (102081).

2⁹³³²¹⁶ is an apocalyptic number.

933216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

933216 is an abundant number, since it is smaller than the sum of its proper divisors (1516728).

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

933216 is a wasteful number, since it uses less digits than its factorization.

933216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9734 (or 9726 counting only the distinct ones).

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

The square root of 933216 is about 966.0310554014. The cubic root of 933216 is about 97.7223852154.

The spelling of 933216 in words is "nine hundred thirty-three thousand, two hundred sixteen".