82283264 has 144 divisors (see below), whose sum is σ = 206918208. Its totient is φ = 31850496.

The previous prime is 82283239. The next prime is 82283273. The reversal of 82283264 is 46238228.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1127132 + ... + 1127204.

It is an arithmetic number, because the mean of its divisors is an integer number (1436932).

Almost surely, 2^82283264 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 82283264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103459104).

82283264 is an abundant number, since it is smaller than the sum of its proper divisors (124634944).

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

82283264 is a wasteful number, since it uses less digits than its factorization.

82283264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 136 counting only the distinct ones).

The product of its digits is 36864, while the sum is 35.

The square root of 82283264 is about 9071.0122919110. The cubic root of 82283264 is about 434.9478318555.

It can be divided in two parts, 82283 and 264, that multiplied together give a palindrome (21722712).

The spelling of 82283264 in words is "eighty-two million, two hundred eighty-three thousand, two hundred sixty-four".