82042 has 16 divisors (see below), whose sum is σ = 138240. Its totient is φ = 36288.

The previous prime is 82039. The next prime is 82051. The reversal of 82042 is 24028.

It is a plaindrome in base 9.

It is a congruent number.

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 583 + ... + 709.

It is an arithmetic number, because the mean of its divisors is an integer number (8640).

2⁸²⁰⁴² is an apocalyptic number.

82042 is a deficient number, since it is larger than the sum of its proper divisors (56198).

82042 is a wasteful number, since it uses less digits than its factorization.

82042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165.

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 82042 is about 286.4297470585. The cubic root of 82042 is about 43.4522309991.

The spelling of 82042 in words is "eighty-two thousand, forty-two".