82815705 has 48 divisors (see below), whose sum is σ = 164810880. Its totient is φ = 37684224.

The previous prime is 82815701. The next prime is 82815713. The reversal of 82815705 is 50751828.

82815705 is a `hidden beast` number, since 8 + 2 + 81 + 570 + 5 = 666.

It is not a de Polignac number, because 82815705 - 2² = 82815701 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82815705.

It is not an unprimeable number, because it can be changed into a prime (82815701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88681 + ... + 89609.

It is an arithmetic number, because the mean of its divisors is an integer number (3433560).

Almost surely, 2^82815705 is an apocalyptic number.

It is an amenable number.

82815705 is a deficient number, since it is larger than the sum of its proper divisors (81995175).

82815705 is a wasteful number, since it uses less digits than its factorization.

82815705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 82815705 is about 9100.3134561398. The cubic root of 82815705 is about 435.8839733486.

The spelling of 82815705 in words is "eighty-two million, eight hundred fifteen thousand, seven hundred five".