82292 has 12 divisors (see below), whose sum is σ = 164640. Its totient is φ = 35256.

The previous prime is 82279. The next prime is 82301. The reversal of 82292 is 29228.

82292 is an admirable number.

It is a congruent number.

It is an unprimeable number.

82292 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 1442 + ... + 1497.

It is an arithmetic number, because the mean of its divisors is an integer number (13720).

2⁸²²⁹² is an apocalyptic number.

It is an amenable number.

82292 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82320).

82292 is a wasteful number, since it uses less digits than its factorization.

82292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2950 (or 2948 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 82292 is about 286.8658222933. The cubic root of 82292 is about 43.4963224090.

It can be divided in two parts, 8 and 2292, that multiplied together give a triangular number (18336 = T₁₉₁).

The spelling of 82292 in words is "eighty-two thousand, two hundred ninety-two".