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33321 = 329383
BaseRepresentation
bin1000001000101001
31200201010
420020221
52031241
6414133
7166101
oct101051
950633
1033321
1123042
1217349
1312222
14c201
159d16
hex8229

33321 has 8 divisors (see below), whose sum is σ = 46080. Its totient is φ = 21392.

The previous prime is 33317. The next prime is 33329. The reversal of 33321 is 12333.

Adding to 33321 its sum of digits (12), we get a palindrome (33333).

Adding to 33321 its reverse (12333), we get a palindrome (45654).

It can be divided in two parts, 3332 and 1, that added together give a palindrome (3333).

It is a happy number.

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 33321 - 22 = 33317 is a prime.

It is a super-2 number, since 2×333212 = 2220578082, which contains 22 as substring.

It is a Curzon number.

It is a plaindrome in base 13.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 33297 and 33306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105 + ... + 278.

It is an arithmetic number, because the mean of its divisors is an integer number (5760).

233321 is an apocalyptic number.

It is an amenable number.

33321 is a deficient number, since it is larger than the sum of its proper divisors (12759).

33321 is a wasteful number, since it uses less digits than its factorization.

33321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415.

The product of its digits is 54, while the sum is 12.

The square root of 33321 is about 182.5404064858. The cubic root of 33321 is about 32.1790097631.

The spelling of 33321 in words is "thirty-three thousand, three hundred twenty-one".

Divisors: 1 3 29 87 383 1149 11107 33321