38505 has 16 divisors (see below), whose sum is σ = 65664. Its totient is φ = 19200.

The previous prime is 38501. The next prime is 38543. The reversal of 38505 is 50583.

38505 is nontrivially palindromic in base 2 and base 16.

38505 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 38505 - 2² = 38501 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 13.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (38501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180 + ... + 330.

It is an arithmetic number, because the mean of its divisors is an integer number (4104).

2³⁸⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

38505 is a deficient number, since it is larger than the sum of its proper divisors (27159).

38505 is a wasteful number, since it uses less digits than its factorization.

38505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 38505 is about 196.2269094696. The cubic root of 38505 is about 33.7680287763.

The spelling of 38505 in words is "thirty-eight thousand, five hundred five".