82589661 has 48 divisors (see below), whose sum is σ = 152800128. Its totient is φ = 41731200.

The previous prime is 82589653. The next prime is 82589671. The reversal of 82589661 is 16698528.

82589661 is a `hidden beast` number, since 8 + 2 + 589 + 6 + 61 = 666.

It is not a de Polignac number, because 82589661 - 2³ = 82589653 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82589641) 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, 24031 + ... + 27251.

It is an arithmetic number, because the mean of its divisors is an integer number (3183336).

Almost surely, 2^82589661 is an apocalyptic number.

It is an amenable number.

82589661 is a deficient number, since it is larger than the sum of its proper divisors (70210467).

82589661 is a wasteful number, since it uses less digits than its factorization.

82589661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3282 (or 3279 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 82589661 is about 9087.8853976049. The cubic root of 82589661 is about 435.4870327868.

The spelling of 82589661 in words is "eighty-two million, five hundred eighty-nine thousand, six hundred sixty-one".