82518 has 16 divisors (see below), whose sum is σ = 174960. Its totient is φ = 25856.

The previous prime is 82507. The next prime is 82529. The reversal of 82518 is 81528.

It is an interprime number because it is at equal distance from previous prime (82507) and next prime (82529).

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 7 ways as a sum of consecutive naturals, for example, 303 + ... + 506.

It is an arithmetic number, because the mean of its divisors is an integer number (10935).

2⁸²⁵¹⁸ is an apocalyptic number.

82518 is an abundant number, since it is smaller than the sum of its proper divisors (92442).

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 (87480).

82518 is a wasteful number, since it uses less digits than its factorization.

82518 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831.

The product of its digits is 640, while the sum is 24.

The square root of 82518 is about 287.2594645960. The cubic root of 82518 is about 43.5361042575.

Subtracting from 82518 its reverse (81528), we obtain a triangular number (990 = T₄₄).

The spelling of 82518 in words is "eighty-two thousand, five hundred eighteen".