82645605 has 72 divisors (see below), whose sum is σ = 171313272. Its totient is φ = 36723456.

The previous prime is 82645583. The next prime is 82645609. The reversal of 82645605 is 50654628.

82645605 is a `hidden beast` number, since 8 + 2 + 6 + 45 + 605 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2614689 + 80030916 = 1617^2 + 8946^2 .

It is not a de Polignac number, because 82645605 - 2¹¹ = 82643557 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82645605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82645609) 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 71 ways as a sum of consecutive naturals, for example, 81079 + ... + 82091.

It is an arithmetic number, because the mean of its divisors is an integer number (2379351).

Almost surely, 2^82645605 is an apocalyptic number.

It is an amenable number.

82645605 is an abundant number, since it is smaller than the sum of its proper divisors (88667667).

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

82645605 is a wasteful number, since it uses less digits than its factorization.

82645605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 82645605 is about 9090.9628202958. The cubic root of 82645605 is about 435.5853396347.

The spelling of 82645605 in words is "eighty-two million, six hundred forty-five thousand, six hundred five".