82711827 has 16 divisors (see below), whose sum is σ = 133676160. Its totient is φ = 50128200.

The previous prime is 82711793. The next prime is 82711831. The reversal of 82711827 is 72811728.

It is a happy number.

It is not a de Polignac number, because 82711827 - 2⁸ = 82711571 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 82711791 and 82711800.

It is not an unprimeable number, because it can be changed into a prime (82711877) 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 15 ways as a sum of consecutive naturals, for example, 138949 + ... + 139542.

It is an arithmetic number, because the mean of its divisors is an integer number (8354760).

Almost surely, 2^82711827 is an apocalyptic number.

82711827 is a deficient number, since it is larger than the sum of its proper divisors (50964333).

82711827 is a wasteful number, since it uses less digits than its factorization.

82711827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278511 (or 278505 counting only the distinct ones).

The product of its digits is 12544, while the sum is 36.

The square root of 82711827 is about 9094.6042794615. The cubic root of 82711827 is about 435.7016500399.

Subtracting from 82711827 its reverse (72811728), we obtain a palindrome (9900099).

It can be divided in two parts, 82711 and 827, that added together give a palindrome (83538).

The spelling of 82711827 in words is "eighty-two million, seven hundred eleven thousand, eight hundred twenty-seven".