82542 has 8 divisors (see below), whose sum is σ = 165096. Its totient is φ = 27512.

The previous prime is 82531. The next prime is 82549. The reversal of 82542 is 24528.

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

82542 is an admirable number.

It is a congruent number.

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

82542 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, 6873 + ... + 6884.

It is an arithmetic number, because the mean of its divisors is an integer number (20637).

2⁸²⁵⁴² is an apocalyptic number.

82542 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 (82548).

82542 is a wasteful number, since it uses less digits than its factorization.

82542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13762.

The product of its digits is 640, while the sum is 21.

The square root of 82542 is about 287.3012356395. The cubic root of 82542 is about 43.5403246103.

It can be divided in two parts, 8254 and 2, that added together give a triangular number (8256 = T₁₂₈).

The spelling of 82542 in words is "eighty-two thousand, five hundred forty-two".