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82161 = 3317179
BaseRepresentation
bin10100000011110001
311011201000
4110003301
510112121
61432213
7461352
oct240361
9134630
1082161
1156802
123b669
132b521
1421d29
1519526
hex140f1

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".

Divisors: 1 3 9 17 27 51 153 179 459 537 1611 3043 4833 9129 27387 82161