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18213 = 313467
BaseRepresentation
bin100011100100101
3220222120
410130211
51040323
6220153
7104046
oct43445
926876
1018213
1112758
12a659
1383a0
1468cd
1555e3
hex4725

18213 has 8 divisors (see below), whose sum is σ = 26208. Its totient is φ = 11184.

The previous prime is 18211. The next prime is 18217. The reversal of 18213 is 31281.

It is a happy number.

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

It is not a de Polignac number, because 18213 - 21 = 18211 is a prime.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 18192 and 18201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195 + ... + 272.

It is an arithmetic number, because the mean of its divisors is an integer number (3276).

218213 is an apocalyptic number.

18213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

18213 is a deficient number, since it is larger than the sum of its proper divisors (7995).

18213 is a wasteful number, since it uses less digits than its factorization.

18213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483.

The product of its digits is 48, while the sum is 15.

The square root of 18213 is about 134.9555482372. The cubic root of 18213 is about 26.3103825383.

Adding to 18213 its reverse (31281), we get a palindrome (49494).

It can be divided in two parts, 18 and 213, that added together give a triangular number (231 = T21).

The spelling of 18213 in words is "eighteen thousand, two hundred thirteen".

Divisors: 1 3 13 39 467 1401 6071 18213