82105704 has 64 divisors (see below), whose sum is σ = 230688000. Its totient is φ = 27054720.

The previous prime is 82105703. The next prime is 82105721. The reversal of 82105704 is 40750128.

82105704 is a `hidden beast` number, since 82 + 10 + 570 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (82105703) 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 15 ways as a sum of consecutive naturals, for example, 17089 + ... + 21359.

It is an arithmetic number, because the mean of its divisors is an integer number (3604500).

Almost surely, 2^82105704 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 82105704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115344000).

82105704 is an abundant number, since it is smaller than the sum of its proper divisors (148582296).

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

82105704 is a wasteful number, since it uses less digits than its factorization.

82105704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4375 (or 4365 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 82105704 is about 9061.2197854373. The cubic root of 82105704 is about 434.6347469043.

The spelling of 82105704 in words is "eighty-two million, one hundred five thousand, seven hundred four".