38901 has 4 divisors (see below), whose sum is σ = 51872. Its totient is φ = 25932.

The previous prime is 38891. The next prime is 38903. The reversal of 38901 is 10983.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 38901 - 2¹⁵ = 6133 is a prime.

It is a D-number.

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

It is a Duffinian number.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 6481 + ... + 6486.

It is an arithmetic number, because the mean of its divisors is an integer number (12968).

2³⁸⁹⁰¹ is an apocalyptic number.

It is an amenable number.

38901 is a deficient number, since it is larger than the sum of its proper divisors (12971).

38901 is a wasteful number, since it uses less digits than its factorization.

38901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12970.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 38901 is about 197.2333643175. The cubic root of 38901 is about 33.8833952495.

It can be divided in two parts, 38 and 901, that added together give a palindrome (939).

The spelling of 38901 in words is "thirty-eight thousand, nine hundred one".