82505673 has 6 divisors (see below), whose sum is σ = 119174874. Its totient is φ = 55003776.

The previous prime is 82505639. The next prime is 82505681. The reversal of 82505673 is 37650528.

82505673 is a `hidden beast` number, since 82 + 505 + 6 + 73 = 666.

It can be written as a sum of positive squares in only one way, i.e., 55756089 + 26749584 = 7467^2 + 5172^2 .

It is not a de Polignac number, because 82505673 - 2⁸ = 82505417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82505173) 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 5 ways as a sum of consecutive naturals, for example, 4583640 + ... + 4583657.

It is an arithmetic number, because the mean of its divisors is an integer number (19862479).

Almost surely, 2^82505673 is an apocalyptic number.

It is an amenable number.

82505673 is a deficient number, since it is larger than the sum of its proper divisors (36669201).

82505673 is a wasteful number, since it uses less digits than its factorization.

82505673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9167303 (or 9167300 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 82505673 is about 9083.2633452961. The cubic root of 82505673 is about 435.3393626071.

The spelling of 82505673 in words is "eighty-two million, five hundred five thousand, six hundred seventy-three".