82764047 has 2 divisors, whose sum is σ = 82764048. Its totient is φ = 82764046.

The previous prime is 82764043. The next prime is 82764049. The reversal of 82764047 is 74046728.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 82764047 - 2² = 82764043 is a prime.

Together with 82764049, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82764047.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82764043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41382023 + 41382024.

It is an arithmetic number, because the mean of its divisors is an integer number (41382024).

Almost surely, 2^82764047 is an apocalyptic number.

82764047 is a deficient number, since it is larger than the sum of its proper divisors (1).

82764047 is an equidigital number, since it uses as much as digits as its factorization.

82764047 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75264, while the sum is 38.

The square root of 82764047 is about 9097.4747595143. The cubic root of 82764047 is about 435.7933239655.

The spelling of 82764047 in words is "eighty-two million, seven hundred sixty-four thousand, forty-seven".