82508307 has 32 divisors (see below), whose sum is σ = 129292800. Its totient is φ = 46781280.

The previous prime is 82508299. The next prime is 82508341. The reversal of 82508307 is 70380528.

It is not a de Polignac number, because 82508307 - 2³ = 82508299 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82508347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186028 + ... + 186470.

It is an arithmetic number, because the mean of its divisors is an integer number (4040400).

Almost surely, 2^82508307 is an apocalyptic number.

82508307 is a deficient number, since it is larger than the sum of its proper divisors (46784493).

82508307 is a wasteful number, since it uses less digits than its factorization.

82508307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 82508307 is about 9083.4083360818. The cubic root of 82508307 is about 435.3439953055.

The spelling of 82508307 in words is "eighty-two million, five hundred eight thousand, three hundred seven".