Search a number
5785 = 51389
BaseRepresentation
bin1011010011001
321221021
41122121
5141120
642441
722603
oct13231
97837
105785
11438a
123421
132830
142173
151aaa
hex1699

5785 has 8 divisors (see below), whose sum is σ = 7560. Its totient is φ = 4224.

The previous prime is 5783. The next prime is 5791. The reversal of 5785 is 5875.

5785 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in 4 ways, for example, as 9 + 5776 = 3^2 + 76^2 .

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 5785 - 21 = 5783 is a prime.

It is a plaindrome in base 15 and base 16.

It is not an unprimeable number, because it can be changed into a prime (5783) 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 in 7 ways as a sum of consecutive naturals, for example, 21 + ... + 109.

It is an arithmetic number, because the mean of its divisors is an integer number (945).

25785 is an apocalyptic number.

It is an amenable number.

5785 is a deficient number, since it is larger than the sum of its proper divisors (1775).

5785 is a wasteful number, since it uses less digits than its factorization.

5785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107.

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

The square root of 5785 is about 76.0591874792. The cubic root of 5785 is about 17.9515156114.

The spelling of 5785 in words is "five thousand, seven hundred eighty-five".

Divisors: 1 5 13 65 89 445 1157 5785