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82341 = 3271307
BaseRepresentation
bin10100000110100101
311011221200
4110012211
510113331
61433113
7462030
oct240645
9134850
1082341
1156956
123b799
132b62c
1422017
15195e6
hex141a5

82341 has 12 divisors (see below), whose sum is σ = 136032. Its totient is φ = 47016.

The previous prime is 82339. The next prime is 82349. The reversal of 82341 is 14328.

It is a happy number.

It is not a de Polignac number, because 82341 - 21 = 82339 is a prime.

It is a super-3 number, since 3×823413 = 1674825890333463, which contains 333 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 (82349) 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 11 ways as a sum of consecutive naturals, for example, 591 + ... + 716.

It is an arithmetic number, because the mean of its divisors is an integer number (11336).

282341 is an apocalyptic number.

It is an amenable number.

82341 is a deficient number, since it is larger than the sum of its proper divisors (53691).

82341 is a wasteful number, since it uses less digits than its factorization.

82341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1317 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 82341 is about 286.9512153660. The cubic root of 82341 is about 43.5049538552.

Adding to 82341 its reverse (14328), we get a palindrome (96669).

The spelling of 82341 in words is "eighty-two thousand, three hundred forty-one".

Divisors: 1 3 7 9 21 63 1307 3921 9149 11763 27447 82341