37638131 has 2 divisors, whose sum is σ = 37638132. Its totient is φ = 37638130.

The previous prime is 37638113. The next prime is 37638149. The reversal of 37638131 is 13183673.

Together with previous prime (37638113) it forms an Ormiston pair, because they use the same digits, order apart.

It is a balanced prime because it is at equal distance from previous prime (37638113) and next prime (37638149).

It is a cyclic number.

It is not a de Polignac number, because 37638131 - 2⁶ = 37638067 is a prime.

It is a super-2 number, since 2×37638131² = 2833257810346322, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (37638331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18819065 + 18819066.

It is an arithmetic number, because the mean of its divisors is an integer number (18819066).

Almost surely, 2^37638131 is an apocalyptic number.

37638131 is a deficient number, since it is larger than the sum of its proper divisors (1).

37638131 is an equidigital number, since it uses as much as digits as its factorization.

37638131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9072, while the sum is 32.

The square root of 37638131 is about 6134.9923390335. The cubic root of 37638131 is about 335.1269467644.

The spelling of 37638131 in words is "thirty-seven million, six hundred thirty-eight thousand, one hundred thirty-one".