82540 has 12 divisors (see below), whose sum is σ = 173376. Its totient is φ = 33008.

The previous prime is 82531. The next prime is 82549. The reversal of 82540 is 4528.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82531) and next prime (82549).

It is not an unprimeable number, because it can be changed into a prime (82549) by changing a digit.

82540 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, 2044 + ... + 2083.

It is an arithmetic number, because the mean of its divisors is an integer number (14448).

2⁸²⁵⁴⁰ is an apocalyptic number.

It is an amenable number.

82540 is an abundant number, since it is smaller than the sum of its proper divisors (90836).

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 (86688).

82540 is a wasteful number, since it uses less digits than its factorization.

82540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4136 (or 4134 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 82540 is about 287.2977549512. The cubic root of 82540 is about 43.5399729455.

The spelling of 82540 in words is "eighty-two thousand, five hundred forty".