82075257 has 24 divisors (see below), whose sum is σ = 129710880. Its totient is φ = 49596480.

The previous prime is 82075237. The next prime is 82075267. The reversal of 82075257 is 75257028.

It is not a de Polignac number, because 82075257 - 2¹⁰ = 82074233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82075237) 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, 39478 + ... + 41504.

It is an arithmetic number, because the mean of its divisors is an integer number (5404620).

Almost surely, 2^82075257 is an apocalyptic number.

It is an amenable number.

82075257 is a deficient number, since it is larger than the sum of its proper divisors (47635623).

82075257 is a wasteful number, since it uses less digits than its factorization.

82075257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2453 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 82075257 is about 9059.5395578363. The cubic root of 82075257 is about 434.5810155167.

The spelling of 82075257 in words is "eighty-two million, seventy-five thousand, two hundred fifty-seven".