82181 has 8 divisors (see below), whose sum is σ = 92928. Its totient is φ = 72000.

The previous prime is 82171. The next prime is 82183. The reversal of 82181 is 18128.

82181 is nontrivially palindromic in base 2 and base 4.

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

It is a cyclic number.

It is not a de Polignac number, because 82181 - 2¹⁰ = 81157 is a prime.

It is a super-2 number, since 2×82181² = 13507433522, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82183) by changing a digit.

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, 221 + ... + 461.

It is an arithmetic number, because the mean of its divisors is an integer number (11616).

2⁸²¹⁸¹ is an apocalyptic number.

It is an amenable number.

82181 is a deficient number, since it is larger than the sum of its proper divisors (10747).

82181 is a wasteful number, since it uses less digits than its factorization.

82181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283.

The product of its digits is 128, while the sum is 20.

The square root of 82181 is about 286.6722867666. The cubic root of 82181 is about 43.4767568610.

The spelling of 82181 in words is "eighty-two thousand, one hundred eighty-one".