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5857 is a prime number
BaseRepresentation
bin1011011100001
322000221
41123201
5141412
643041
723035
oct13341
98027
105857
114445
123481
132887
1421c5
151b07
hex16e1

5857 has 2 divisors, whose sum is σ = 5858. Its totient is φ = 5856.

The previous prime is 5851. The next prime is 5861. The reversal of 5857 is 7585.

Subtracting from 5857 its sum of digits (25), we obtain a cube (5832 = 183).

Subtracting 5857 from its reverse (7585), we obtain a cube (1728 = 123).

It can be divided in two parts, 585 and 7, that multiplied together give a triangular number (4095 = T90).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5776 + 81 = 76^2 + 9^2 .

It is a cyclic number.

It is not a de Polignac number, because 5857 - 23 = 5849 is a prime.

It is a plaindrome in base 11.

It is not a weakly prime, because it can be changed into another prime (5851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2928 + 2929.

It is an arithmetic number, because the mean of its divisors is an integer number (2929).

25857 is an apocalyptic number.

It is an amenable number.

5857 is a deficient number, since it is larger than the sum of its proper divisors (1).

5857 is an equidigital number, since it uses as much as digits as its factorization.

5857 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1400, while the sum is 25.

The square root of 5857 is about 76.5310394546. The cubic root of 5857 is about 18.0256835004.

The spelling of 5857 in words is "five thousand, eight hundred fifty-seven".