82578 has 8 divisors (see below), whose sum is σ = 165168. Its totient is φ = 27524.

The previous prime is 82571. The next prime is 82591. The reversal of 82578 is 87528.

It is a sphenic number, since it is the product of 3 distinct primes.

82578 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (82571) by changing a digit.

82578 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6876 + ... + 6887.

It is an arithmetic number, because the mean of its divisors is an integer number (20646).

2⁸²⁵⁷⁸ is an apocalyptic number.

82578 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (82584).

82578 is a wasteful number, since it uses less digits than its factorization.

82578 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13768.

The product of its digits is 4480, while the sum is 30.

The square root of 82578 is about 287.3638808201. The cubic root of 82578 is about 43.5466536059.

Subtracting 82578 from its reverse (87528), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 825 and 78, that added together give a triangular number (903 = T₄₂).

The spelling of 82578 in words is "eighty-two thousand, five hundred seventy-eight".