82047 has 8 divisors (see below), whose sum is σ = 125056. Its totient is φ = 46872.

The previous prime is 82039. The next prime is 82051. The reversal of 82047 is 74028.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 82047 - 2³ = 82039 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 3907 = 82047 / (8 + 2 + 0 + 4 + 7).

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82007) 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, 1933 + ... + 1974.

It is an arithmetic number, because the mean of its divisors is an integer number (15632).

2⁸²⁰⁴⁷ is an apocalyptic number.

82047 is a deficient number, since it is larger than the sum of its proper divisors (43009).

82047 is a wasteful number, since it uses less digits than its factorization.

82047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3917.

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 82047 is about 286.4384750693. The cubic root of 82047 is about 43.4531137044.

The spelling of 82047 in words is "eighty-two thousand, forty-seven".