38005157 has 2 divisors, whose sum is σ = 38005158. Its totient is φ = 38005156.

The previous prime is 38005141. The next prime is 38005169. The reversal of 38005157 is 75150083.

38005157 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., 21104836 + 16900321 = 4594^2 + 4111^2 .

It is a cyclic number.

It is not a de Polignac number, because 38005157 - 2⁴ = 38005141 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38005117) 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, 19002578 + 19002579.

It is an arithmetic number, because the mean of its divisors is an integer number (19002579).

Almost surely, 2^38005157 is an apocalyptic number.

It is an amenable number.

38005157 is a deficient number, since it is larger than the sum of its proper divisors (1).

38005157 is an equidigital number, since it uses as much as digits as its factorization.

38005157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4200, while the sum is 29.

The square root of 38005157 is about 6164.8322767128. The cubic root of 38005157 is about 336.2127485070.

It can be divided in two parts, 38005 and 157, that multiplied together give a triangular number (5966785 = T₃₄₅₄).

The spelling of 38005157 in words is "thirty-eight million, five thousand, one hundred fifty-seven".