82554 has 8 divisors (see below), whose sum is σ = 165120. Its totient is φ = 27516.

The previous prime is 82549. The next prime is 82559. The reversal of 82554 is 45528.

It is an interprime number because it is at equal distance from previous prime (82549) and next prime (82559).

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

82554 is an admirable number.

It is a d-powerful number, because it can be written as 8³ + 2¹⁶ + 5⁴ + 5⁶ + 4⁴ .

It is not an unprimeable number, because it can be changed into a prime (82559) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6874 + ... + 6885.

It is an arithmetic number, because the mean of its divisors is an integer number (20640).

2⁸²⁵⁵⁴ is an apocalyptic number.

82554 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 (82560).

82554 is a wasteful number, since it uses less digits than its factorization.

82554 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13764.

The product of its digits is 1600, while the sum is 24.

The square root of 82554 is about 287.3221188840. The cubic root of 82554 is about 43.5424344800.

It can be divided in two parts, 82 and 554, that added together give a palindrome (636).

The spelling of 82554 in words is "eighty-two thousand, five hundred fifty-four".