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57809 is a prime number
BaseRepresentation
bin1110000111010001
32221022002
432013101
53322214
61123345
7330353
oct160721
987262
1057809
113a484
1229555
132040b
14170d3
15121de
hexe1d1

57809 has 2 divisors, whose sum is σ = 57810. Its totient is φ = 57808.

The previous prime is 57803. The next prime is 57829. The reversal of 57809 is 90875.

It is a happy number.

57809 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 48400 + 9409 = 220^2 + 97^2 .

It is a cyclic number.

It is not a de Polignac number, because 57809 - 24 = 57793 is a prime.

It is a Chen prime.

It is a plaindrome in base 6.

It is not a weakly prime, because it can be changed into another prime (57803) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28904 + 28905.

It is an arithmetic number, because the mean of its divisors is an integer number (28905).

257809 is an apocalyptic number.

It is an amenable number.

57809 is a deficient number, since it is larger than the sum of its proper divisors (1).

57809 is an equidigital number, since it uses as much as digits as its factorization.

57809 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 57809 is about 240.4350224073. The cubic root of 57809 is about 38.6662290213. Note that the first 3 decimals are identical.

The spelling of 57809 in words is "fifty-seven thousand, eight hundred nine".