82712385 has 48 divisors (see below), whose sum is σ = 165599616. Its totient is φ = 37407744.

The previous prime is 82712341. The next prime is 82712407. The reversal of 82712385 is 58321728.

82712385 is a `hidden beast` number, since 8 + 271 + 2 + 385 = 666.

It is not a de Polignac number, because 82712385 - 2⁷ = 82712257 is a prime.

It is an unprimeable number.

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, 29202 + ... + 31908.

It is an arithmetic number, because the mean of its divisors is an integer number (3449992).

Almost surely, 2^82712385 is an apocalyptic number.

It is an amenable number.

82712385 is an abundant number, since it is smaller than the sum of its proper divisors (82887231).

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

82712385 is a wasteful number, since it uses less digits than its factorization.

82712385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822 (or 2819 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 82712385 is about 9094.6349569403. The cubic root of 82712385 is about 435.7026298311.

The spelling of 82712385 in words is "eighty-two million, seven hundred twelve thousand, three hundred eighty-five".