82263312 has 120 divisors (see below), whose sum is σ = 245475360. Its totient is φ = 25643520.

The previous prime is 82263299. The next prime is 82263317. The reversal of 82263312 is 21336228.

82263312 is a `hidden beast` number, since 8 + 22 + 633 + 1 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (82263317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292612 + ... + 292892.

It is an arithmetic number, because the mean of its divisors is an integer number (2045628).

Almost surely, 2^82263312 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 82263312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122737680).

82263312 is an abundant number, since it is smaller than the sum of its proper divisors (163212048).

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

82263312 is a wasteful number, since it uses less digits than its factorization.

82263312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 412 counting only the distinct ones).

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

The square root of 82263312 is about 9069.9124582324. The cubic root of 82263312 is about 434.9126737110.

The spelling of 82263312 in words is "eighty-two million, two hundred sixty-three thousand, three hundred twelve".