37268041 has 2 divisors, whose sum is σ = 37268042. Its totient is φ = 37268040.

The previous prime is 37268003. The next prime is 37268051. The reversal of 37268041 is 14086273.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21427641 + 15840400 = 4629^2 + 3980^2 .

It is a cyclic number.

It is not a de Polignac number, because 37268041 - 2¹⁷ = 37136969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 37267994 and 37268012.

It is not a weakly prime, because it can be changed into another prime (37268051) 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, 18634020 + 18634021.

It is an arithmetic number, because the mean of its divisors is an integer number (18634021).

Almost surely, 2^37268041 is an apocalyptic number.

It is an amenable number.

37268041 is a deficient number, since it is larger than the sum of its proper divisors (1).

37268041 is an equidigital number, since it uses as much as digits as its factorization.

37268041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 37268041 is about 6104.7556052638. The cubic root of 37268041 is about 334.0249093976.

The spelling of 37268041 in words is "thirty-seven million, two hundred sixty-eight thousand, forty-one".