82791 has 6 divisors (see below), whose sum is σ = 119600. Its totient is φ = 55188.

The previous prime is 82787. The next prime is 82793. The reversal of 82791 is 19728.

82791 is nontrivially palindromic in base 12.

It is not a de Polignac number, because 82791 - 2² = 82787 is a prime.

It is a Duffinian number.

82791 is a lucky number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82793) 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, 4591 + ... + 4608.

2⁸²⁷⁹¹ is an apocalyptic number.

82791 is a deficient number, since it is larger than the sum of its proper divisors (36809).

82791 is a wasteful number, since it uses less digits than its factorization.

82791 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9205 (or 9202 counting only the distinct ones).

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

The square root of 82791 is about 287.7342523927. The cubic root of 82791 is about 43.5840625755.

It can be divided in two parts, 827 and 91, that multiplied together give a palindrome (75257).

The spelling of 82791 in words is "eighty-two thousand, seven hundred ninety-one".