82507689 has 24 divisors (see below), whose sum is σ = 130321152. Its totient is φ = 49885920.

The previous prime is 82507673. The next prime is 82507699. The reversal of 82507689 is 98670528.

82507689 is a `hidden beast` number, since 82 + 507 + 68 + 9 = 666.

It is not a de Polignac number, because 82507689 - 2⁴ = 82507673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82507699) 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 23 ways as a sum of consecutive naturals, for example, 59407 + ... + 60779.

It is an arithmetic number, because the mean of its divisors is an integer number (5430048).

Almost surely, 2^82507689 is an apocalyptic number.

It is an amenable number.

82507689 is a deficient number, since it is larger than the sum of its proper divisors (47813463).

82507689 is a wasteful number, since it uses less digits than its factorization.

82507689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 82507689 is about 9083.3743179504. The cubic root of 82507689 is about 435.3429083714.

The spelling of 82507689 in words is "eighty-two million, five hundred seven thousand, six hundred eighty-nine".