82647 has 8 divisors (see below), whose sum is σ = 122480. Its totient is φ = 55080.

The previous prime is 82633. The next prime is 82651. The reversal of 82647 is 74628.

82647 is nontrivially palindromic in base 12.

It is not a de Polignac number, because 82647 - 2¹¹ = 80599 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3061 = 82647 / (8 + 2 + 6 + 4 + 7).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82647.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82657) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1504 + ... + 1557.

It is an arithmetic number, because the mean of its divisors is an integer number (15310).

2⁸²⁶⁴⁷ is an apocalyptic number.

82647 is a deficient number, since it is larger than the sum of its proper divisors (39833).

82647 is a wasteful number, since it uses less digits than its factorization.

82647 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3070 (or 3064 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 82647 is about 287.4839125934. The cubic root of 82647 is about 43.5587790413.

It can be divided in two parts, 82 and 647, that added together give a 6-th power (729 = 3⁶).

The spelling of 82647 in words is "eighty-two thousand, six hundred forty-seven".