37305041 has 2 divisors, whose sum is σ = 37305042. Its totient is φ = 37305040.

The previous prime is 37305019. The next prime is 37305043. The reversal of 37305041 is 14050373.

It is a happy number.

37305041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37258816 + 46225 = 6104^2 + 215^2 .

It is a cyclic number.

It is not a de Polignac number, because 37305041 - 2¹⁸ = 37042897 is a prime.

It is a Sophie Germain prime.

Together with 37305043, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 37304998 and 37305016.

It is not a weakly prime, because it can be changed into another prime (37305043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18652520 + 18652521.

It is an arithmetic number, because the mean of its divisors is an integer number (18652521).

Almost surely, 2^37305041 is an apocalyptic number.

It is an amenable number.

37305041 is a deficient number, since it is larger than the sum of its proper divisors (1).

37305041 is an equidigital number, since it uses as much as digits as its factorization.

37305041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 37305041 is about 6107.7852778237. The cubic root of 37305041 is about 334.1354136756.

The spelling of 37305041 in words is "thirty-seven million, three hundred five thousand, forty-one".