38116585 has 32 divisors (see below), whose sum is σ = 51841440. Its totient is φ = 26707968.

The previous prime is 38116583. The next prime is 38116607. The reversal of 38116585 is 58561183.

38116585 = 439² + 440² + ... + 583².

38116585 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 19289664 + 18826921 = 4392^2 + 4339^2 .

It is a cyclic number.

It is not a de Polignac number, because 38116585 - 2¹ = 38116583 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38116583) 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 31 ways as a sum of consecutive naturals, for example, 137467 + ... + 137743.

It is an arithmetic number, because the mean of its divisors is an integer number (1620045).

Almost surely, 2^38116585 is an apocalyptic number.

It is an amenable number.

38116585 is a deficient number, since it is larger than the sum of its proper divisors (13724855).

38116585 is a wasteful number, since it uses less digits than its factorization.

38116585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397.

The product of its digits is 28800, while the sum is 37.

The square root of 38116585 is about 6173.8630532269. The cubic root of 38116585 is about 336.5410106281.

The spelling of 38116585 in words is "thirty-eight million, one hundred sixteen thousand, five hundred eighty-five".