82585907 has 6 divisors (see below), whose sum is σ = 82949172. Its totient is φ = 82223972.

The previous prime is 82585903. The next prime is 82585933. The reversal of 82585907 is 70958528.

It is not a de Polignac number, because 82585907 - 2² = 82585903 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82585901) 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 5 ways as a sum of consecutive naturals, for example, 146408 + ... + 146970.

It is an arithmetic number, because the mean of its divisors is an integer number (13824862).

Almost surely, 2^82585907 is an apocalyptic number.

82585907 is a deficient number, since it is larger than the sum of its proper divisors (363265).

82585907 is an frugal number, since it uses more digits than its factorization.

82585907 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 44.

The square root of 82585907 is about 9087.6788565618. The cubic root of 82585907 is about 435.4804345312.

The spelling of 82585907 in words is "eighty-two million, five hundred eighty-five thousand, nine hundred seven".