82233216 has 288 divisors, whose sum is σ = 284957400. Its totient is φ = 22560768.

The previous prime is 82233209. The next prime is 82233223. The reversal of 82233216 is 61233228.

It is an interprime number because it is at equal distance from previous prime (82233209) and next prime (82233223).

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (3456) is a multiple of the sum of its prime divisors (54).

It is a self number, because there is not a number n which added to its sum of digits gives 82233216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4328055 + ... + 4328073.

Almost surely, 2^82233216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82233216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142478700).

82233216 is an abundant number, since it is smaller than the sum of its proper divisors (202724184).

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

82233216 is a wasteful number, since it uses less digits than its factorization.

82233216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 54 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 82233216 is about 9068.2531945243. The cubic root of 82233216 is about 434.8596296988.

The spelling of 82233216 in words is "eighty-two million, two hundred thirty-three thousand, two hundred sixteen".