82269 has 16 divisors (see below), whose sum is σ = 133440. Its totient is φ = 49680.

The previous prime is 82267. The next prime is 82279. The reversal of 82269 is 96228.

It is not a de Polignac number, because 82269 - 2¹ = 82267 is a prime.

It is a super-2 number, since 2×82269² = 13536376722, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

82269 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82261) 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, 159 + ... + 435.

It is an arithmetic number, because the mean of its divisors is an integer number (8340).

2⁸²²⁶⁹ is an apocalyptic number.

It is an amenable number.

82269 is a deficient number, since it is larger than the sum of its proper divisors (51171).

82269 is a wasteful number, since it uses less digits than its factorization.

82269 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 291 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 82269 is about 286.8257310633. The cubic root of 82269 is about 43.4922697322.

It can be divided in two parts, 82 and 269, that added together give a triangular number (351 = T₂₆).

The spelling of 82269 in words is "eighty-two thousand, two hundred sixty-nine".