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5705 = 57163
BaseRepresentation
bin1011001001001
321211022
41121021
5140310
642225
722430
oct13111
97738
105705
114317
123375
13279b
142117
151a55
hex1649

5705 has 8 divisors (see below), whose sum is σ = 7872. Its totient is φ = 3888.

The previous prime is 5701. The next prime is 5711. The reversal of 5705 is 5075.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 5705 - 22 = 5701 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (5701) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47 + ... + 116.

It is an arithmetic number, because the mean of its divisors is an integer number (984).

25705 is an apocalyptic number.

It is an amenable number.

5705 is a deficient number, since it is larger than the sum of its proper divisors (2167).

5705 is a wasteful number, since it uses less digits than its factorization.

5705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175.

The product of its (nonzero) digits is 175, while the sum is 17.

The square root of 5705 is about 75.5314504031. The cubic root of 5705 is about 17.8683814968.

Subtracting from 5705 its reverse (5075), we obtain a triangular number (630 = T35).

It can be divided in two parts, 570 and 5, that multiplied together give a triangular number (2850 = T75).

The spelling of 5705 in words is "five thousand, seven hundred five".

Divisors: 1 5 7 35 163 815 1141 5705