38905 has 8 divisors (see below), whose sum is σ = 48384. Its totient is φ = 30000.

The previous prime is 38903. The next prime is 38917. The reversal of 38905 is 50983.

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

It is not a de Polignac number, because 38905 - 2¹ = 38903 is a prime.

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

It is a Duffinian number.

It is a nialpdrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 38905.

It is not an unprimeable number, because it can be changed into a prime (38903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30 + ... + 280.

It is an arithmetic number, because the mean of its divisors is an integer number (6048).

2³⁸⁹⁰⁵ is an apocalyptic number.

It is an amenable number.

38905 is a deficient number, since it is larger than the sum of its proper divisors (9479).

38905 is a wasteful number, since it uses less digits than its factorization.

38905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 38905 is about 197.2435043290. The cubic root of 38905 is about 33.8845565644.

The spelling of 38905 in words is "thirty-eight thousand, nine hundred five".