32256 has 60 divisors (see below), whose sum is σ = 106392. Its totient is φ = 9216.

The previous prime is 32251. The next prime is 32257. The reversal of 32256 is 65223.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as **3**^{3} + **2**^{2} + **2**^{14} + **5**^{6} + **6**^{3} .

Its product of digits (360) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 2, base 8 and base 14.

It is a zygodrome in base 2 and base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32251) by changing a digit.

32256 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4605 + ... + 4611.

2^{32256} is an apocalyptic number.

32256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53196).

32256 is an abundant number, since it is smaller than the sum of its proper divisors (74136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32256 is an equidigital number, since it uses as much as digits as its factorization.

32256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31 (or 12 counting only the distinct ones).

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

The square root of 32256 is about 179.5995545651. The cubic root of 32256 is about 31.8324576632.

Adding to 32256 its reverse (65223), we get a palindrome (97479).

It can be divided in two parts, 322 and 56, that added together give a triangular number (378 = T_{27}).

The spelling of 32256 in words is "thirty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1152 1344 1536 1792 2016 2304 2688 3584 4032 4608 5376 8064 10752 16128 32256

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