82105485 has 64 divisors (see below), whose sum is σ = 166385664. Its totient is φ = 33580800.

The previous prime is 82105477. The next prime is 82105489. The reversal of 82105485 is 58450128.

It is not a de Polignac number, because 82105485 - 2³ = 82105477 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82105489) 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 63 ways as a sum of consecutive naturals, for example, 76855 + ... + 77915.

It is an arithmetic number, because the mean of its divisors is an integer number (2599776).

Almost surely, 2^82105485 is an apocalyptic number.

It is an amenable number.

82105485 is an abundant number, since it is smaller than the sum of its proper divisors (84280179).

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

82105485 is a wasteful number, since it uses less digits than its factorization.

82105485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154.

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 82105485 is about 9061.2077009635. The cubic root of 82105485 is about 434.6343604712.

It can be divided in two parts, 8210 and 5485, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 82105485 in words is "eighty-two million, one hundred five thousand, four hundred eighty-five".