82265856 has 72 divisors (see below), whose sum is σ = 231863184. Its totient is φ = 25804800.

The previous prime is 82265831. The next prime is 82265861. The reversal of 82265856 is 65856228.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 9906 + ... + 16206.

It is an arithmetic number, because the mean of its divisors is an integer number (3220322).

Almost surely, 2^82265856 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 82265856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115931592).

82265856 is an abundant number, since it is smaller than the sum of its proper divisors (149597328).

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

82265856 is a wasteful number, since it uses less digits than its factorization.

82265856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6337 (or 6323 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The square root of 82265856 is about 9070.0527010597. The cubic root of 82265856 is about 434.9171569021.

The spelling of 82265856 in words is "eighty-two million, two hundred sixty-five thousand, eight hundred fifty-six".