82602 has 24 divisors (see below), whose sum is σ = 193284. Its totient is φ = 25344.

The previous prime is 82601. The next prime is 82609. The reversal of 82602 is 20628.

It can be written as a sum of positive squares in 2 ways, for example, as 77841 + 4761 = 279^2 + 69^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (82601) 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 11 ways as a sum of consecutive naturals, for example, 58 + ... + 410.

2⁸²⁶⁰² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82602, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96642).

82602 is an abundant number, since it is smaller than the sum of its proper divisors (110682).

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

82602 is a wasteful number, since it uses less digits than its factorization.

82602 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 82602 is about 287.4056366879. The cubic root of 82602 is about 43.5508719145.

The spelling of 82602 in words is "eighty-two thousand, six hundred two".