82573085 has 24 divisors (see below), whose sum is σ = 118393560. Its totient is φ = 55085184.

The previous prime is 82573081. The next prime is 82573087. The reversal of 82573085 is 58037528.

It can be written as a sum of positive squares in 4 ways, for example, as 8561476 + 74011609 = 2926^2 + 8603^2 .

It is not a de Polignac number, because 82573085 - 2² = 82573081 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82573081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4511 + ... + 13619.

It is an arithmetic number, because the mean of its divisors is an integer number (4933065).

Almost surely, 2^82573085 is an apocalyptic number.

It is an amenable number.

82573085 is a deficient number, since it is larger than the sum of its proper divisors (35820475).

82573085 is a wasteful number, since it uses less digits than its factorization.

82573085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9165 (or 9158 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 38.

The square root of 82573085 is about 9086.9733685095. The cubic root of 82573085 is about 435.4578963067.

The spelling of 82573085 in words is "eighty-two million, five hundred seventy-three thousand, eighty-five".