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18253 is a prime number
BaseRepresentation
bin100011101001101
3221001001
410131031
51041003
6220301
7104134
oct43515
927031
1018253
1112794
12a691
138401
14691b
15561d
hex474d

18253 has 2 divisors, whose sum is σ = 18254. Its totient is φ = 18252.

The previous prime is 18251. The next prime is 18257. The reversal of 18253 is 35281.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9604 + 8649 = 98^2 + 93^2 .

It is an emirp because it is prime and its reverse (35281) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 18253 - 21 = 18251 is a prime.

Together with 18251, it forms a pair of twin primes.

18253 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 18253.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (18251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9126 + 9127.

It is an arithmetic number, because the mean of its divisors is an integer number (9127).

218253 is an apocalyptic number.

It is an amenable number.

18253 is a deficient number, since it is larger than the sum of its proper divisors (1).

18253 is an equidigital number, since it uses as much as digits as its factorization.

18253 is an evil number, because the sum of its binary digits is even.

The product of its digits is 240, while the sum is 19.

The square root of 18253 is about 135.1036639029. The cubic root of 18253 is about 26.3296297022.

It can be divided in two parts, 18 and 253, that multiplied together give a palindrome (4554).

The spelling of 18253 in words is "eighteen thousand, two hundred fifty-three".