82161 has 16 divisors (see below), whose sum is σ = 129600. Its totient is φ = 51264.

The previous prime is 82153. The next prime is 82163. The reversal of 82161 is 16128.

It is not a de Polignac number, because 82161 - 2³ = 82153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 370 + ... + 548.

It is an arithmetic number, because the mean of its divisors is an integer number (8100).

2⁸²¹⁶¹ is an apocalyptic number.

It is an amenable number.

82161 is a deficient number, since it is larger than the sum of its proper divisors (47439).

82161 is a wasteful number, since it uses less digits than its factorization.

82161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 199 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 82161 is about 286.6374016070. The cubic root of 82161 is about 43.4732296642.

Adding to 82161 its reverse (16128), we get a palindrome (98289).

It can be divided in two parts, 82 and 161, that added together give a 5-th power (243 = 3⁵).

The spelling of 82161 in words is "eighty-two thousand, one hundred sixty-one".