37049 has 2 divisors, whose sum is σ = 37050. Its totient is φ = 37048.

The previous prime is 37039. The next prime is 37057. The reversal of 37049 is 94073.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25600 + 11449 = 160^2 + 107^2 .

It is a cyclic number.

It is not a de Polignac number, because 37049 - 2⁸ = 36793 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p₃₉₂₉ and since 37049 and 3929 have the same sum of digits, it is a Honaker prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 37049.

It is not a weakly prime, because it can be changed into another prime (37019) 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, 18524 + 18525.

It is an arithmetic number, because the mean of its divisors is an integer number (18525).

2³⁷⁰⁴⁹ is an apocalyptic number.

It is an amenable number.

37049 is a deficient number, since it is larger than the sum of its proper divisors (1).

37049 is an equidigital number, since it uses as much as digits as its factorization.

37049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 37049 is about 192.4811679100. The cubic root of 37049 is about 33.3369218359.

The spelling of 37049 in words is "thirty-seven thousand, forty-nine".