82976 has 12 divisors (see below), whose sum is σ = 163422. Its totient is φ = 41472.

The previous prime is 82963. The next prime is 82981. The reversal of 82976 is 67928.

It can be written as a sum of positive squares in only one way, i.e., 67600 + 15376 = 260^2 + 124^2 .

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 2593 = 82976 / (8 + 2 + 9 + 7 + 6).

It is an Ulam number.

It is a plaindrome in base 14.

It is an unprimeable number.

82976 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, 1265 + ... + 1328.

2⁸²⁹⁷⁶ is an apocalyptic number.

It is an amenable number.

82976 is a deficient number, since it is larger than the sum of its proper divisors (80446).

82976 is a wasteful number, since it uses less digits than its factorization.

82976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2603 (or 2595 counting only the distinct ones).

The product of its digits is 6048, while the sum is 32.

The square root of 82976 is about 288.0555501982. The cubic root of 82976 is about 43.6165019038.

Subtracting from 82976 its sum of digits (32), we obtain a square (82944 = 288²).

The spelling of 82976 in words is "eighty-two thousand, nine hundred seventy-six".