82946856 has 64 divisors (see below), whose sum is σ = 220564800. Its totient is φ = 25920000.

The previous prime is 82946849. The next prime is 82946887. The reversal of 82946856 is 65864928.

It is a happy number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 45156 + ... + 46956.

It is an arithmetic number, because the mean of its divisors is an integer number (3446325).

Almost surely, 2^82946856 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 82946856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110282400).

82946856 is an abundant number, since it is smaller than the sum of its proper divisors (137617944).

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

82946856 is a wasteful number, since it uses less digits than its factorization.

82946856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 1926 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 82946856 is about 9107.5164562025. The cubic root of 82946856 is about 436.1139477165.

The spelling of 82946856 in words is "eighty-two million, nine hundred forty-six thousand, eight hundred fifty-six".