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9065 = 57237
BaseRepresentation
bin10001101101001
3110102202
42031221
5242230
6105545
735300
oct21551
913382
109065
1168a1
1252b5
134184
143437
152a45
hex2369

9065 has 12 divisors (see below), whose sum is σ = 12996. Its totient is φ = 6048.

The previous prime is 9059. The next prime is 9067. The reversal of 9065 is 5609.

9065 = T27 + T28 + ... + T41.

9065 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5929 + 3136 = 77^2 + 56^2 .

It is not a de Polignac number, because 9065 - 24 = 9049 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (9067) 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 11 ways as a sum of consecutive naturals, for example, 227 + ... + 263.

It is an arithmetic number, because the mean of its divisors is an integer number (1083).

29065 is an apocalyptic number.

It is an amenable number.

9065 is a deficient number, since it is larger than the sum of its proper divisors (3931).

9065 is a wasteful number, since it uses less digits than its factorization.

9065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 9065 is about 95.2102935611. The cubic root of 9065 is about 20.8507942504.

Subtracting from 9065 its sum of digits (20), we obtain a triangular number (9045 = T134).

The spelling of 9065 in words is "nine thousand, sixty-five".

Divisors: 1 5 7 35 37 49 185 245 259 1295 1813 9065