82749 has 4 divisors (see below), whose sum is σ = 110336. Its totient is φ = 55164.

The previous prime is 82729. The next prime is 82757. The reversal of 82749 is 94728.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 82749 - 2⁸ = 82493 is a prime.

It is a D-number.

It is a Duffinian number.

82749 is a lucky number.

It is a plaindrome in base 14.

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 82749.

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 3 ways as a sum of consecutive naturals, for example, 13789 + ... + 13794.

It is an arithmetic number, because the mean of its divisors is an integer number (27584).

2⁸²⁷⁴⁹ is an apocalyptic number.

It is an amenable number.

82749 is a deficient number, since it is larger than the sum of its proper divisors (27587).

82749 is a wasteful number, since it uses less digits than its factorization.

82749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27586.

The product of its digits is 4032, while the sum is 30.

The square root of 82749 is about 287.6612591226. The cubic root of 82749 is about 43.5766912418.

The spelling of 82749 in words is "eighty-two thousand, seven hundred forty-nine".