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65341 = 192181
BaseRepresentation
bin1111111100111101
310022122001
433330331
54042331
61222301
7361333
oct177475
9108561
1065341
1145101
1231991
1323983
1419b53
1514561
hexff3d

65341 has 6 divisors (see below), whose sum is σ = 69342. Its totient is φ = 61560.

The previous prime is 65327. The next prime is 65353. The reversal of 65341 is 14356.

65341 is nontrivially palindromic in base 3.

65341 is a nontrivial binomial coefficient, being equal to C(362, 2).

It can be written as a sum of positive squares in only one way, i.e., 36100 + 29241 = 190^2 + 171^2 .

It is not a de Polignac number, because 65341 - 25 = 65309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

65341 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 271 + ... + 451.

It is an arithmetic number, because the mean of its divisors is an integer number (11557).

265341 is an apocalyptic number.

65341 is the 361-st triangular number and also the 181-st hexagonal number.

65341 is the 121-st centered nonagonal number.

It is an amenable number.

65341 is a deficient number, since it is larger than the sum of its proper divisors (4001).

65341 is a wasteful number, since it uses less digits than its factorization.

65341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 200 counting only the distinct ones).

The product of its digits is 360, while the sum is 19.

The square root of 65341 is about 255.6188568944. The cubic root of 65341 is about 40.2774461416.

Adding to 65341 its reverse (14356), we get a palindrome (79697).

It can be divided in two parts, 65 and 341, that added together give a triangular number (406 = T28).

The spelling of 65341 in words is "sixty-five thousand, three hundred forty-one".

Divisors: 1 19 181 361 3439 65341