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32223 = 323467

32223 has 8 divisors (see below), whose sum is σ = 44928. Its totient is φ = 20504.

The previous prime is 32213. The next prime is 32233.

32223 = T12 + T13 + ... + T57.

32223 is nontrivially palindromic in base 2 and base 10.

It is an interprime number because it is at equal distance from previous prime (32213) and next prime (32233).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 32223 - 25 = 32191 is a prime.

32223 is a lucky number.

It is a plaindrome in base 11, base 13 and base 16.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 32199 and 32208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165 + ... + 302.

It is an arithmetic number, because the mean of its divisors is an integer number (5616).

232223 is an apocalyptic number.

32223 is a deficient number, since it is larger than the sum of its proper divisors (12705).

32223 is a wasteful number, since it uses less digits than its factorization.

32223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493.

The product of its digits is 72, while the sum is 12.

The square root of 32223 is about 179.5076600037. The cubic root of 32223 is about 31.8215983963.

The spelling of 32223 in words is "thirty-two thousand, two hundred twenty-three".

Divisors: 1 3 23 69 467 1401 10741 32223