82888 has 16 divisors (see below), whose sum is σ = 167580. Its totient is φ = 38208.

The previous prime is 82883. The next prime is 82889. The reversal of 82888 is 88828.

It can be written as a sum of positive squares in 2 ways, for example, as 79524 + 3364 = 282^2 + 58^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (82883) 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 in 3 ways as a sum of consecutive naturals, for example, 295 + ... + 502.

2⁸²⁸⁸⁸ is an apocalyptic number.

It is an amenable number.

82888 is an abundant number, since it is smaller than the sum of its proper divisors (84692).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83790).

82888 is a wasteful number, since it uses less digits than its factorization.

82888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 812 counting only the distinct ones).

The product of its digits is 8192, while the sum is 34.

The square root of 82888 is about 287.9027613622. The cubic root of 82888 is about 43.6010773238.

It can be divided in two parts, 8 and 2888, that multiplied together give a square (23104 = 152²).

The spelling of 82888 in words is "eighty-two thousand, eight hundred eighty-eight".