82590561 has 12 divisors (see below), whose sum is σ = 120735888. Its totient is φ = 54396504.

The previous prime is 82590509. The next prime is 82590577. The reversal of 82590561 is 16509528.

It is a happy number.

82590561 is a `hidden beast` number, since 8 + 2 + 5 + 90 + 561 = 666.

It is not a de Polignac number, because 82590561 - 2²¹ = 80493409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82590581) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54535 + ... + 56028.

It is an arithmetic number, because the mean of its divisors is an integer number (10061324).

Almost surely, 2^82590561 is an apocalyptic number.

It is an amenable number.

82590561 is a deficient number, since it is larger than the sum of its proper divisors (38145327).

82590561 is a wasteful number, since it uses less digits than its factorization.

82590561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110652 (or 110649 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 82590561 is about 9087.9349139395. The cubic root of 82590561 is about 435.4886146511.

The spelling of 82590561 in words is "eighty-two million, five hundred ninety thousand, five hundred sixty-one".