82580085 has 48 divisors (see below), whose sum is σ = 164301696. Its totient is φ = 37586304.

The previous prime is 82580083. The next prime is 82580087. The reversal of 82580085 is 58008528.

It is an interprime number because it is at equal distance from previous prime (82580083) and next prime (82580087).

It is not a de Polignac number, because 82580085 - 2¹ = 82580083 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82580083) 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 47 ways as a sum of consecutive naturals, for example, 99442 + ... + 100268.

It is an arithmetic number, because the mean of its divisors is an integer number (3422952).

Almost surely, 2^82580085 is an apocalyptic number.

It is an amenable number.

82580085 is a deficient number, since it is larger than the sum of its proper divisors (81721611).

82580085 is a wasteful number, since it uses less digits than its factorization.

82580085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 82580085 is about 9087.3585270969. The cubic root of 82580085 is about 435.4702010391.

The spelling of 82580085 in words is "eighty-two million, five hundred eighty thousand, eighty-five".