82565073 has 12 divisors (see below), whose sum is σ = 126276228. Its totient is φ = 51805440.

The previous prime is 82565069. The next prime is 82565083. The reversal of 82565073 is 37056528.

It can be written as a sum of positive squares in 2 ways, for example, as 58476609 + 24088464 = 7647^2 + 4908^2 .

It is not a de Polignac number, because 82565073 - 2² = 82565069 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82565023) 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 11 ways as a sum of consecutive naturals, for example, 269668 + ... + 269973.

It is an arithmetic number, because the mean of its divisors is an integer number (10523019).

Almost surely, 2^82565073 is an apocalyptic number.

It is an amenable number.

82565073 is a deficient number, since it is larger than the sum of its proper divisors (43711155).

82565073 is a wasteful number, since it uses less digits than its factorization.

82565073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539664 (or 539661 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 82565073 is about 9086.5325069578. The cubic root of 82565073 is about 435.4438118081.

The spelling of 82565073 in words is "eighty-two million, five hundred sixty-five thousand, seventy-three".