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23265 = 3251147
BaseRepresentation
bin101101011100001
31011220200
411223201
51221030
6255413
7124554
oct55341
934820
1023265
1116530
1211569
13a788
14869b
156d60
hex5ae1

23265 has 24 divisors (see below), whose sum is σ = 44928. Its totient is φ = 11040.

The previous prime is 23251. The next prime is 23269. The reversal of 23265 is 56232.

It is not a de Polignac number, because 23265 - 26 = 23201 is a prime.

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (23269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 472 + ... + 518.

It is an arithmetic number, because the mean of its divisors is an integer number (1872).

223265 is an apocalyptic number.

It is an amenable number.

23265 is a deficient number, since it is larger than the sum of its proper divisors (21663).

23265 is a wasteful number, since it uses less digits than its factorization.

23265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 66 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 23265 is about 152.5286858266. The cubic root of 23265 is about 28.5474739694.

Adding to 23265 its reverse (56232), we get a palindrome (79497).

The spelling of 23265 in words is "twenty-three thousand, two hundred sixty-five".

Divisors: 1 3 5 9 11 15 33 45 47 55 99 141 165 235 423 495 517 705 1551 2115 2585 4653 7755 23265