82530 has 48 divisors (see below), whose sum is σ = 247104. Its totient is φ = 18720.

The previous prime is 82529. The next prime is 82531. The reversal of 82530 is 3528.

82530 is nontrivially palindromic in base 8.

It is an interprime number because it is at equal distance from previous prime (82529) and next prime (82531).

It is a super-2 number, since 2×82530² = 13622401800, which contains 22 as substring.

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

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 82530.

It is not an unprimeable number, because it can be changed into a prime (82531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 565 + ... + 695.

It is an arithmetic number, because the mean of its divisors is an integer number (5148).

2⁸²⁵³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123552).

82530 is an abundant number, since it is smaller than the sum of its proper divisors (164574).

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

82530 is a wasteful number, since it uses less digits than its factorization.

82530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 82530 is about 287.2803508770. The cubic root of 82530 is about 43.5382145362.

The spelling of 82530 in words is "eighty-two thousand, five hundred thirty".