37145033 has 2 divisors, whose sum is σ = 37145034. Its totient is φ = 37145032.

The previous prime is 37145011. The next prime is 37145039. The reversal of 37145033 is 33054173.

37145033 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., 28601104 + 8543929 = 5348^2 + 2923^2 .

It is a cyclic number.

It is not a de Polignac number, because 37145033 - 2⁸ = 37144777 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 37144993 and 37145011.

It is not a weakly prime, because it can be changed into another prime (37145039) 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, 18572516 + 18572517.

It is an arithmetic number, because the mean of its divisors is an integer number (18572517).

Almost surely, 2^37145033 is an apocalyptic number.

It is an amenable number.

37145033 is a deficient number, since it is larger than the sum of its proper divisors (1).

37145033 is an equidigital number, since it uses as much as digits as its factorization.

37145033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 26.

The square root of 37145033 is about 6094.6725096596. The cubic root of 37145033 is about 333.6570068269.

The spelling of 37145033 in words is "thirty-seven million, one hundred forty-five thousand, thirty-three".