82105705 has 32 divisors (see below), whose sum is σ = 111196800. Its totient is φ = 57684480.

The previous prime is 82105703. The next prime is 82105721. The reversal of 82105705 is 50750128.

82105705 is a nontrivial binomial coefficient, being equal to C(12815, 2).

It is not a de Polignac number, because 82105705 - 2¹ = 82105703 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82105703) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352269 + ... + 352501.

It is an arithmetic number, because the mean of its divisors is an integer number (3474900).

Almost surely, 2^82105705 is an apocalyptic number.

82105705 is the 12814-th triangular number.

82105705 is the 4272-nd centered nonagonal number.

It is an amenable number.

82105705 is a deficient number, since it is larger than the sum of its proper divisors (29091095).

82105705 is a wasteful number, since it uses less digits than its factorization.

82105705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441.

The product of its (nonzero) digits is 2800, while the sum is 28.

The square root of 82105705 is about 9061.2198406175. The cubic root of 82105705 is about 434.6347486689.

The spelling of 82105705 in words is "eighty-two million, one hundred five thousand, seven hundred five".