82979 has 6 divisors (see below), whose sum is σ = 90036. Its totient is φ = 76440.

The previous prime is 82963. The next prime is 82981. The reversal of 82979 is 97928.

It is not a de Polignac number, because 82979 - 2⁴ = 82963 is a prime.

It is a Duffinian number.

Its product of digits (9072) is a multiple of the sum of its prime divisors (504).

It is not an unprimeable number, because it can be changed into a prime (82939) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 77 + ... + 414.

It is an arithmetic number, because the mean of its divisors is an integer number (15006).

2⁸²⁹⁷⁹ is an apocalyptic number.

82979 is a deficient number, since it is larger than the sum of its proper divisors (7057).

82979 is a wasteful number, since it uses less digits than its factorization.

82979 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 504 counting only the distinct ones).

The product of its digits is 9072, while the sum is 35.

The square root of 82979 is about 288.0607574801. The cubic root of 82979 is about 43.6170275495.

Subtracting from 82979 its sum of digits (35), we obtain a square (82944 = 288²).

It can be divided in two parts, 8 and 2979, that multiplied together give a palindrome (23832).

The spelling of 82979 in words is "eighty-two thousand, nine hundred seventy-nine".