Search a number
9005 = 51801
BaseRepresentation
bin10001100101101
3110100112
42030231
5242010
6105405
735153
oct21455
913315
109005
116847
125265
134139
1433d3
152a05
hex232d

9005 has 4 divisors (see below), whose sum is σ = 10812. Its totient is φ = 7200.

The previous prime is 9001. The next prime is 9007. The reversal of 9005 is 5009.

9005 is nontrivially palindromic in base 7.

9005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 2116 + 6889 = 46^2 + 83^2 .

It is not a de Polignac number, because 9005 - 22 = 9001 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9001) 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 3 ways as a sum of consecutive naturals, for example, 896 + ... + 905.

It is an arithmetic number, because the mean of its divisors is an integer number (2703).

29005 is an apocalyptic number.

It is an amenable number.

9005 is a deficient number, since it is larger than the sum of its proper divisors (1807).

9005 is a wasteful number, since it uses less digits than its factorization.

9005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806.

The product of its (nonzero) digits is 45, while the sum is 14.

The square root of 9005 is about 94.8946784599. The cubic root of 9005 is about 20.8046895245.

The spelling of 9005 in words is "nine thousand, five".

Divisors: 1 5 1801 9005