82088 has 16 divisors (see below), whose sum is σ = 159360. Its totient is φ = 39600.

The previous prime is 82073. The next prime is 82129. The reversal of 82088 is 88028.

It is an unprimeable number.

82088 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 83 + ... + 413.

It is an arithmetic number, because the mean of its divisors is an integer number (9960).

2⁸²⁰⁸⁸ is an apocalyptic number.

It is an amenable number.

82088 is a deficient number, since it is larger than the sum of its proper divisors (77272).

82088 is a wasteful number, since it uses less digits than its factorization.

82088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 82088 is about 286.5100347283. The cubic root of 82088 is about 43.4603505361.

The spelling of 82088 in words is "eighty-two thousand, eighty-eight".