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82241 is a prime number
BaseRepresentation
bin10100000101000001
311011210222
4110011001
510112431
61432425
7461525
oct240501
9134728
1082241
1156875
123b715
132b583
1421d85
151957b
hex14141

82241 has 2 divisors, whose sum is σ = 82242. Its totient is φ = 82240.

The previous prime is 82237. The next prime is 82261. The reversal of 82241 is 14228.

82241 is nontrivially palindromic in base 16.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67600 + 14641 = 260^2 + 121^2 .

It is a cyclic number.

It is not a de Polignac number, because 82241 - 22 = 82237 is a prime.

It is a d-powerful number, because it can be written as 82 + 214 + 216 + 44 + 1 .

82241 is an undulating number in base 16.

It is not a weakly prime, because it can be changed into another prime (82231) 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 as a sum of consecutive naturals, namely, 41120 + 41121.

It is an arithmetic number, because the mean of its divisors is an integer number (41121).

282241 is an apocalyptic number.

It is an amenable number.

82241 is a deficient number, since it is larger than the sum of its proper divisors (1).

82241 is an equidigital number, since it uses as much as digits as its factorization.

82241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 128, while the sum is 17.

The square root of 82241 is about 286.7769167838. The cubic root of 82241 is about 43.4873350191.

Adding to 82241 its product of digits (128), we get a square (82369 = 2872).

Adding to 82241 its reverse (14228), we get a palindrome (96469).

It can be divided in two parts, 82 and 241, that added together give a palindrome (323).

The spelling of 82241 in words is "eighty-two thousand, two hundred forty-one".