82719 has 24 divisors (see below), whose sum is σ = 148512. Its totient is φ = 43200.

The previous prime is 82699. The next prime is 82721. The reversal of 82719 is 91728.

It is not a de Polignac number, because 82719 - 2⁷ = 82591 is a prime.

It is a super-2 number, since 2×82719² = 13684865922, which contains 22 as substring.

82719 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 82692 and 82701.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 82719.

It is not an unprimeable number, because it can be changed into a prime (82729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 769 + ... + 869.

It is an arithmetic number, because the mean of its divisors is an integer number (6188).

2⁸²⁷¹⁹ is an apocalyptic number.

82719 is a deficient number, since it is larger than the sum of its proper divisors (65793).

82719 is a wasteful number, since it uses less digits than its factorization.

82719 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 124 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 82719 is about 287.6091097306. The cubic root of 82719 is about 43.5714244763.

Subtracting 82719 from its reverse (91728), we obtain a palindrome (9009).

The spelling of 82719 in words is "eighty-two thousand, seven hundred nineteen".