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57557 is a prime number
BaseRepresentation
bin1110000011010101
32220221202
432003111
53320212
61122245
7326543
oct160325
986852
1057557
113a275
1229385
1320276
1416d93
15120c2
hexe0d5

57557 has 2 divisors, whose sum is σ = 57558. Its totient is φ = 57556.

The previous prime is 57529. The next prime is 57559. The reversal of 57557 is 75575.

57557 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39601 + 17956 = 199^2 + 134^2 .

It is a cyclic number.

It is not a de Polignac number, because 57557 - 26 = 57493 is a prime.

Together with 57559, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 6.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57559) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28778 + 28779.

It is an arithmetic number, because the mean of its divisors is an integer number (28779).

257557 is an apocalyptic number.

It is an amenable number.

57557 is a deficient number, since it is larger than the sum of its proper divisors (1).

57557 is an equidigital number, since it uses as much as digits as its factorization.

57557 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6125, while the sum is 29.

The square root of 57557 is about 239.9103999413. The cubic root of 57557 is about 38.6099627965.

The spelling of 57557 in words is "fifty-seven thousand, five hundred fifty-seven".