36258041 has 2 divisors, whose sum is σ = 36258042. Its totient is φ = 36258040.

The previous prime is 36257939. The next prime is 36258043. The reversal of 36258041 is 14085263.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19324816 + 16933225 = 4396^2 + 4115^2 .

It is a cyclic number.

It is not a de Polignac number, because 36258041 - 2²² = 32063737 is a prime.

Together with 36258043, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p_2219087 and since 36258041 and 2219087 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 36257995 and 36258013.

It is not a weakly prime, because it can be changed into another prime (36258043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18129020 + 18129021.

It is an arithmetic number, because the mean of its divisors is an integer number (18129021).

Almost surely, 2^36258041 is an apocalyptic number.

It is an amenable number.

36258041 is a deficient number, since it is larger than the sum of its proper divisors (1).

36258041 is an equidigital number, since it uses as much as digits as its factorization.

36258041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 36258041 is about 6021.4650210725. The cubic root of 36258041 is about 330.9797665029.

The spelling of 36258041 in words is "thirty-six million, two hundred fifty-eight thousand, forty-one".