30241 has 2 divisors, whose sum is σ = 30242. Its totient is φ = 30240.

The previous prime is 30223. The next prime is 30253. The reversal of 30241 is 14203.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21025 + 9216 = 145^2 + 96^2 .

It is a cyclic number.

It is not a de Polignac number, because 30241 - 2⁷ = 30113 is a prime.

It is an Ulam number.

30241 is a lucky number.

It is a nialpdrome in base 16.

It is not a weakly prime, because it can be changed into another prime (30211) 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 as a sum of consecutive naturals, namely, 15120 + 15121.

It is an arithmetic number, because the mean of its divisors is an integer number (15121).

2³⁰²⁴¹ is an apocalyptic number.

It is an amenable number.

30241 is a deficient number, since it is larger than the sum of its proper divisors (1).

30241 is an equidigital number, since it uses as much as digits as its factorization.

30241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 30241 is about 173.8993962037. The cubic root of 30241 is about 31.1553080262.

Adding to 30241 its reverse (14203), we get a palindrome (44444).

It can be divided in two parts, 3024 and 1, that added together give a square (3025 = 55²).

The spelling of 30241 in words is "thirty thousand, two hundred forty-one".