36241 has 2 divisors, whose sum is σ = 36242. Its totient is φ = 36240.

The previous prime is 36229. The next prime is 36251. The reversal of 36241 is 14263.

36241 is nontrivially palindromic in base 12.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19600 + 16641 = 140^2 + 129^2 .

It is a cyclic number.

It is not a de Polignac number, because 36241 - 2⁵ = 36209 is a prime.

It is not a weakly prime, because it can be changed into another prime (36251) 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, 18120 + 18121.

It is an arithmetic number, because the mean of its divisors is an integer number (18121).

2³⁶²⁴¹ is an apocalyptic number.

It is an amenable number.

36241 is a deficient number, since it is larger than the sum of its proper divisors (1).

36241 is an equidigital number, since it uses as much as digits as its factorization.

36241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 144, while the sum is 16.

The square root of 36241 is about 190.3706910215. The cubic root of 36241 is about 33.0927905730.

The spelling of 36241 in words is "thirty-six thousand, two hundred forty-one".