82812323238327 has 40 divisors (see below), whose sum is σ = 130271647796400. Its totient is φ = 52281055725696.

The previous prime is 82812323238317. The next prime is 82812323238367. The reversal of 82812323238327 is 72383232321828.

82812323238327 is a `hidden beast` number, since 8 + 2 + 8 + 1 + 2 + 3 + 232 + 383 + 27 = 666.

It is not a de Polignac number, because 82812323238327 - 2¹⁶ = 82812323172791 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82812323238317) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7289502 + ... + 14790587.

It is an arithmetic number, because the mean of its divisors is an integer number (3256791194910).

Almost surely, 2^{82812323238327} is an apocalyptic number.

82812323238327 is a deficient number, since it is larger than the sum of its proper divisors (47459324558073).

82812323238327 is a wasteful number, since it uses less digits than its factorization.

82812323238327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22082557 (or 22082548 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 82812323238327 in words is "eighty-two trillion, eight hundred twelve billion, three hundred twenty-three million, two hundred thirty-eight thousand, three hundred twenty-seven".