82977 has 8 divisors (see below), whose sum is σ = 117216. Its totient is φ = 52032.

The previous prime is 82963. The next prime is 82981. The reversal of 82977 is 77928.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 82977 - 2⁶ = 82913 is a prime.

82977 is a lucky number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (82997) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 763 + ... + 864.

It is an arithmetic number, because the mean of its divisors is an integer number (14652).

2⁸²⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

82977 is a deficient number, since it is larger than the sum of its proper divisors (34239).

82977 is a wasteful number, since it uses less digits than its factorization.

82977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647.

The product of its digits is 7056, while the sum is 33.

The square root of 82977 is about 288.0572859693. The cubic root of 82977 is about 43.6166771204.

Subtracting from 82977 its sum of digits (33), we obtain a square (82944 = 288²).

The spelling of 82977 in words is "eighty-two thousand, nine hundred seventy-seven".