82007 has 2 divisors, whose sum is σ = 82008. Its totient is φ = 82006.

The previous prime is 82003. The next prime is 82009. The reversal of 82007 is 70028.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 82007 - 2² = 82003 is a prime.

Together with 82009, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41003 + 41004.

It is an arithmetic number, because the mean of its divisors is an integer number (41004).

2⁸²⁰⁰⁷ is an apocalyptic number.

82007 is a deficient number, since it is larger than the sum of its proper divisors (1).

82007 is an equidigital number, since it uses as much as digits as its factorization.

82007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 82007 is about 286.3686435349. The cubic root of 82007 is about 43.4460510571.

The spelling of 82007 in words is "eighty-two thousand, seven".