37138241 has 16 divisors (see below), whose sum is σ = 44323200. Its totient is φ = 30444288.

The previous prime is 37138237. The next prime is 37138247. The reversal of 37138241 is 14283173.

37138241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 37138241 - 2² = 37138237 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (37138247) 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 in 15 ways as a sum of consecutive naturals, for example, 22130 + ... + 23748.

It is an arithmetic number, because the mean of its divisors is an integer number (2770200).

Almost surely, 2^37138241 is an apocalyptic number.

It is an amenable number.

37138241 is a deficient number, since it is larger than the sum of its proper divisors (7184959).

37138241 is a wasteful number, since it uses less digits than its factorization.

37138241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768.

The product of its digits is 4032, while the sum is 29.

The square root of 37138241 is about 6094.1152762317. The cubic root of 37138241 is about 333.6366691007.

The spelling of 37138241 in words is "thirty-seven million, one hundred thirty-eight thousand, two hundred forty-one".