82988 has 6 divisors (see below), whose sum is σ = 145236. Its totient is φ = 41492.

The previous prime is 82981. The next prime is 82997. The reversal of 82988 is 88928.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (82981) by changing a digit.

82988 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10370 + ... + 10377.

It is an arithmetic number, because the mean of its divisors is an integer number (24206).

2⁸²⁹⁸⁸ is an apocalyptic number.

It is an amenable number.

82988 is a deficient number, since it is larger than the sum of its proper divisors (62248).

82988 is a wasteful number, since it uses less digits than its factorization.

82988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20751 (or 20749 counting only the distinct ones).

The product of its digits is 9216, while the sum is 35.

The square root of 82988 is about 288.0763787609. The cubic root of 82988 is about 43.6186044105.

The spelling of 82988 in words is "eighty-two thousand, nine hundred eighty-eight".