82582605 has 64 divisors (see below), whose sum is σ = 173260800. Its totient is φ = 36521280.

The previous prime is 82582603. The next prime is 82582609. The reversal of 82582605 is 50628528.

It is not a de Polignac number, because 82582605 - 2¹ = 82582603 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82582605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82582601) 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 63 ways as a sum of consecutive naturals, for example, 27886 + ... + 30704.

It is an arithmetic number, because the mean of its divisors is an integer number (2707200).

Almost surely, 2^82582605 is an apocalyptic number.

It is an amenable number.

82582605 is an abundant number, since it is smaller than the sum of its proper divisors (90678195).

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

82582605 is a wasteful number, since it uses less digits than its factorization.

82582605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2871 (or 2865 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 82582605 is about 9087.4971801921. The cubic root of 82582605 is about 435.4746305726.

The spelling of 82582605 in words is "eighty-two million, five hundred eighty-two thousand, six hundred five".