38137977 has 12 divisors (see below), whose sum is σ = 55189680. Its totient is φ = 25378488.

The previous prime is 38137951. The next prime is 38137999. The reversal of 38137977 is 77973183.

38137977 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 38137977 - 2¹⁸ = 37875833 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (38137927) 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 11 ways as a sum of consecutive naturals, for example, 1674 + ... + 8892.

It is an arithmetic number, because the mean of its divisors is an integer number (4599140).

Almost surely, 2^38137977 is an apocalyptic number.

It is an amenable number.

38137977 is a deficient number, since it is larger than the sum of its proper divisors (17051703).

38137977 is a wasteful number, since it uses less digits than its factorization.

38137977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7812 (or 7809 counting only the distinct ones).

The product of its digits is 222264, while the sum is 45.

The square root of 38137977 is about 6175.5952749512. The cubic root of 38137977 is about 336.6039573210.

The spelling of 38137977 in words is "thirty-eight million, one hundred thirty-seven thousand, nine hundred seventy-seven".