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32265 = 335239
BaseRepresentation
bin111111000001001
31122021000
413320021
52013030
6405213
7163032
oct77011
948230
1032265
1122272
1216809
13118bc
14ba89
159860
hex7e09

32265 has 16 divisors (see below), whose sum is σ = 57600. Its totient is φ = 17136.

The previous prime is 32261. The next prime is 32297. The reversal of 32265 is 56223.

32265 is digitally balanced in base 4 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 32265 - 22 = 32261 is a prime.

32265 is strictly pandigital in base 6.

32265 is a lucky number.

It is a plaindrome in base 13.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (32261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16 + ... + 254.

It is an arithmetic number, because the mean of its divisors is an integer number (3600).

232265 is an apocalyptic number.

It is an amenable number.

32265 is a deficient number, since it is larger than the sum of its proper divisors (25335).

32265 is a wasteful number, since it uses less digits than its factorization.

32265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 247 counting only the distinct ones).

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

The square root of 32265 is about 179.6246085591. The cubic root of 32265 is about 31.8354179959.

Adding to 32265 its reverse (56223), we get a palindrome (88488).

The spelling of 32265 in words is "thirty-two thousand, two hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 135 239 717 1195 2151 3585 6453 10755 32265