38801 has 8 divisors (see below), whose sum is σ = 46464. Its totient is φ = 31680.

The previous prime is 38791. The next prime is 38803. The reversal of 38801 is 10883.

38801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 38801 - 2⁶ = 38737 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38803) 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, 41 + ... + 281.

It is an arithmetic number, because the mean of its divisors is an integer number (5808).

2³⁸⁸⁰¹ is an apocalyptic number.

38801 is the 161-st pentagonal number.

It is an amenable number.

38801 is a deficient number, since it is larger than the sum of its proper divisors (7663).

38801 is a wasteful number, since it uses less digits than its factorization.

38801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271.

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 38801 is about 196.9796943850. The cubic root of 38801 is about 33.8543364673.

Subtracting from 38801 its sum of digits (20), we obtain a triangular number (38781 = T₂₇₈).

The spelling of 38801 in words is "thirty-eight thousand, eight hundred one".