82769 has 4 divisors (see below), whose sum is σ = 85044. Its totient is φ = 80496.

The previous prime is 82763. The next prime is 82781. The reversal of 82769 is 96728.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 70225 + 12544 = 265^2 + 112^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82769 is a prime.

It is a super-2 number, since 2×82769² = 13701414722, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1082 + ... + 1155.

It is an arithmetic number, because the mean of its divisors is an integer number (21261).

2⁸²⁷⁶⁹ is an apocalyptic number.

It is an amenable number.

82769 is a deficient number, since it is larger than the sum of its proper divisors (2275).

82769 is a wasteful number, since it uses less digits than its factorization.

82769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274.

The product of its digits is 6048, while the sum is 32.

The square root of 82769 is about 287.6960201324. The cubic root of 82769 is about 43.5802017117.

The spelling of 82769 in words is "eighty-two thousand, seven hundred sixty-nine".