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39321 = 3217257
BaseRepresentation
bin1001100110011001
31222221100
421212121
52224241
6502013
7222432
oct114631
958840
1039321
11275a7
121a909
1314b89
1410489
15b9b6
hex9999

39321 has 12 divisors (see below), whose sum is σ = 60372. Its totient is φ = 24576.

The previous prime is 39317. The next prime is 39323. The reversal of 39321 is 12393.

39321 is nontrivially palindromic in base 2 and base 16.

39321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

39321 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 35721 + 3600 = 189^2 + 60^2 .

It is not a de Polignac number, because 39321 - 22 = 39317 is a prime.

It is a super-2 number, since 2×393212 = 3092282082, which contains 22 as substring.

It is an Ulam number.

39321 is an undulating number in base 4.

It is a Curzon number.

39321 is a lucky number.

39321 is a nontrivial repdigit in base 16.

It is a plaindrome in base 16.

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 39294 and 39303.

It is not an unprimeable number, because it can be changed into a prime (39323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25 + ... + 281.

It is an arithmetic number, because the mean of its divisors is an integer number (5031).

239321 is an apocalyptic number.

It is an amenable number.

39321 is a deficient number, since it is larger than the sum of its proper divisors (21051).

39321 is a wasteful number, since it uses less digits than its factorization.

39321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 277 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 39321 is about 198.2952344359. The cubic root of 39321 is about 34.0049012542.

It can be divided in two parts, 393 and 21, that added together give a palindrome (414).

The spelling of 39321 in words is "thirty-nine thousand, three hundred twenty-one".

Divisors: 1 3 9 17 51 153 257 771 2313 4369 13107 39321