82302 has 32 divisors (see below), whose sum is σ = 190080. Its totient is φ = 23520.

The previous prime is 82301. The next prime is 82307. The reversal of 82302 is 20328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82301) 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, 1893 + ... + 1935.

It is an arithmetic number, because the mean of its divisors is an integer number (5940).

2⁸²³⁰² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95040).

82302 is an abundant number, since it is smaller than the sum of its proper divisors (107778).

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

82302 is a wasteful number, since it uses less digits than its factorization.

82302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 82302 is about 286.8832515153. The cubic root of 82302 is about 43.4980842068.

The spelling of 82302 in words is "eighty-two thousand, three hundred two".