82290 has 32 divisors (see below), whose sum is σ = 213696. Its totient is φ = 20160.

The previous prime is 82279. The next prime is 82301. The reversal of 82290 is 9228.

It is an interprime number because it is at equal distance from previous prime (82279) and next prime (82301).

It is a Curzon number.

It is a congruent number.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 285 + ... + 495.

It is an arithmetic number, because the mean of its divisors is an integer number (6678).

2⁸²²⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106848).

82290 is an abundant number, since it is smaller than the sum of its proper divisors (131406).

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

82290 is a wasteful number, since it uses less digits than its factorization.

82290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 82290 is about 286.8623363218. The cubic root of 82290 is about 43.4959700323.

The spelling of 82290 in words is "eighty-two thousand, two hundred ninety".