82677 has 16 divisors (see below), whose sum is σ = 131072. Its totient is φ = 45360.

The previous prime is 82657. The next prime is 82699. The reversal of 82677 is 77628.

It is not a de Polignac number, because 82677 - 2⁶ = 82613 is a prime.

It is a Duffinian number.

Its product of digits (4704) is a multiple of the sum of its prime divisors (168).

82677 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82657) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 588 + ... + 714.

It is an arithmetic number, because the mean of its divisors is an integer number (8192).

2⁸²⁶⁷⁷ is an apocalyptic number.

It is an amenable number.

82677 is a deficient number, since it is larger than the sum of its proper divisors (48395).

82677 is a wasteful number, since it uses less digits than its factorization.

82677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168.

The product of its digits is 4704, while the sum is 30.

The square root of 82677 is about 287.5360846920. The cubic root of 82677 is about 43.5640488647.

It can be divided in two parts, 826 and 77, that added together give a triangular number (903 = T₄₂).

The spelling of 82677 in words is "eighty-two thousand, six hundred seventy-seven".