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32865 = 357313
BaseRepresentation
bin1000000001100001
31200002020
420001201
52022430
6412053
7164550
oct100141
950066
1032865
1122768
1217029
1311c61
14bd97
159b10
hex8061

32865 has 16 divisors (see below), whose sum is σ = 60288. Its totient is φ = 14976.

The previous prime is 32843. The next prime is 32869. The reversal of 32865 is 56823.

It can be divided in two parts, 328 and 65, that added together give a palindrome (393).

32865 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 32865 - 25 = 32833 is a prime.

32865 is strictly pandigital in base 6.

It is a Curzon number.

32865 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32865.

It is not an unprimeable number, because it can be changed into a prime (32869) 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, 52 + ... + 261.

It is an arithmetic number, because the mean of its divisors is an integer number (3768).

32865 is a Friedman number, since it can be written as 5*(3^8+6*2), using all its digits and the basic arithmetic operations.

232865 is an apocalyptic number.

32865 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

32865 is the 105-th octagonal number.

It is an amenable number.

32865 is a deficient number, since it is larger than the sum of its proper divisors (27423).

32865 is a wasteful number, since it uses less digits than its factorization.

32865 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328.

The product of its digits is 1440, while the sum is 24.

The square root of 32865 is about 181.2870651756. The cubic root of 32865 is about 32.0315444153.

The spelling of 32865 in words is "thirty-two thousand, eight hundred sixty-five".

Divisors: 1 3 5 7 15 21 35 105 313 939 1565 2191 4695 6573 10955 32865