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57059 is a prime number
BaseRepresentation
bin1101111011100011
32220021022
431323203
53311214
61120055
7325232
oct157343
986238
1057059
1139962
122902b
131cc82
1416b19
1511d8e
hexdee3

57059 has 2 divisors, whose sum is σ = 57060. Its totient is φ = 57058.

The previous prime is 57047. The next prime is 57073. The reversal of 57059 is 95075.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 57059 - 212 = 52963 is a prime.

It is a Chen prime.

It is equal to p5786 and since 57059 and 5786 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (57089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28529 + 28530.

It is an arithmetic number, because the mean of its divisors is an integer number (28530).

257059 is an apocalyptic number.

57059 is a deficient number, since it is larger than the sum of its proper divisors (1).

57059 is an equidigital number, since it uses as much as digits as its factorization.

57059 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1575, while the sum is 26.

The square root of 57059 is about 238.8702576714. The cubic root of 57059 is about 38.4982851881.

The spelling of 57059 in words is "fifty-seven thousand, fifty-nine".