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18241 = 172937
BaseRepresentation
bin100011101000001
3221000121
410131001
51040431
6220241
7104116
oct43501
927017
1018241
1112783
12a681
1383c2
14690d
155611
hex4741

18241 has 8 divisors (see below), whose sum is σ = 20520. Its totient is φ = 16128.

The previous prime is 18233. The next prime is 18251. The reversal of 18241 is 14281.

18241 = 952 + 962.

It is a happy number.

18241 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9025 + 9216 = 95^2 + 96^2 .

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 18241 - 23 = 18233 is a prime.

It is a Duffinian number.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 475 + ... + 511.

It is an arithmetic number, because the mean of its divisors is an integer number (2565).

218241 is an apocalyptic number.

18241 is the 96-th centered square number.

It is an amenable number.

18241 is a deficient number, since it is larger than the sum of its proper divisors (2279).

18241 is a wasteful number, since it uses less digits than its factorization.

18241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83.

The product of its digits is 64, while the sum is 16.

The square root of 18241 is about 135.0592462588. The cubic root of 18241 is about 26.3238585080.

Subtracting from 18241 its sum of digits (16), we obtain a square (18225 = 1352).

The spelling of 18241 in words is "eighteen thousand, two hundred forty-one".

Divisors: 1 17 29 37 493 629 1073 18241