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83641 is a prime number
BaseRepresentation
bin10100011010111001
311020201211
4110122321
510134031
61443121
7465565
oct243271
9136654
1083641
1157928
12404a1
132c0bc
14226a5
1519bb1
hex146b9

83641 has 2 divisors, whose sum is σ = 83642. Its totient is φ = 83640.

The previous prime is 83639. The next prime is 83653. The reversal of 83641 is 14638.

83641 = 2042 + 2052.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 42025 + 41616 = 205^2 + 204^2 .

It is a cyclic number.

It is not a de Polignac number, because 83641 - 21 = 83639 is a prime.

Together with 83639, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (83621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41820 + 41821.

It is an arithmetic number, because the mean of its divisors is an integer number (41821).

283641 is an apocalyptic number.

83641 is the 205-th centered square number.

It is an amenable number.

83641 is a deficient number, since it is larger than the sum of its proper divisors (1).

83641 is an equidigital number, since it uses as much as digits as its factorization.

83641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 576, while the sum is 22.

The square root of 83641 is about 289.2075379377. The cubic root of 83641 is about 43.7327115365.

The spelling of 83641 in words is "eighty-three thousand, six hundred forty-one".