38385517 has 8 divisors (see below), whose sum is σ = 39035000. Its totient is φ = 37739520.

The previous prime is 38385509. The next prime is 38385521. The reversal of 38385517 is 71558383.

It can be written as a sum of positive squares in 4 ways, for example, as 19881 + 38365636 = 141^2 + 6194^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 38385517 - 2³ = 38385509 is a prime.

It is a super-3 number, since 3×38385517³ (a number of 24 digits) contains 333 as substring.

It is a Duffinian number.

It is a plaindrome in base 8.

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 38385517.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38385617) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30109 + ... + 31357.

It is an arithmetic number, because the mean of its divisors is an integer number (4879375).

Almost surely, 2^38385517 is an apocalyptic number.

It is an amenable number.

38385517 is a deficient number, since it is larger than the sum of its proper divisors (649483).

38385517 is a wasteful number, since it uses less digits than its factorization.

38385517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743.

The product of its digits is 100800, while the sum is 40.

The square root of 38385517 is about 6195.6046516865. The cubic root of 38385517 is about 337.3306460813.

The spelling of 38385517 in words is "thirty-eight million, three hundred eighty-five thousand, five hundred seventeen".