82512 has 40 divisors (see below), whose sum is σ = 238080. Its totient is φ = 27360.

The previous prime is 82507. The next prime is 82529. The reversal of 82512 is 21528.

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

It is a congruent number.

It is an unprimeable number.

82512 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 (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 337 + ... + 527.

It is an arithmetic number, because the mean of its divisors is an integer number (5952).

2⁸²⁵¹² is an apocalyptic number.

82512 is the 144-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119040).

82512 is an abundant number, since it is smaller than the sum of its proper divisors (155568).

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

82512 is a wasteful number, since it uses less digits than its factorization.

82512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 196 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 82512 is about 287.2490208861. The cubic root of 82512 is about 43.5350490415.

The spelling of 82512 in words is "eighty-two thousand, five hundred twelve".