38481 has 8 divisors (see below), whose sum is σ = 52224. Its totient is φ = 25200.

The previous prime is 38461. The next prime is 38501. The reversal of 38481 is 18483.

It is an interprime number because it is at equal distance from previous prime (38461) and next prime (38501).

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

It is not a de Polignac number, because 38481 - 2⁵ = 38449 is a prime.

It is a super-2 number, since 2×38481² = 2961574722, which contains 22 as substring.

It is a Curzon number.

38481 is a lucky number.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38481.

It is not an unprimeable number, because it can be changed into a prime (38431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240 + ... + 366.

It is an arithmetic number, because the mean of its divisors is an integer number (6528).

2³⁸⁴⁸¹ is an apocalyptic number.

It is an amenable number.

38481 is a deficient number, since it is larger than the sum of its proper divisors (13743).

38481 is a wasteful number, since it uses less digits than its factorization.

38481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231.

The product of its digits is 768, while the sum is 24.

The square root of 38481 is about 196.1657462454. The cubic root of 38481 is about 33.7610114961.

It can be divided in two parts, 384 and 81, that added together give a triangular number (465 = T₃₀).

The spelling of 38481 in words is "thirty-eight thousand, four hundred eighty-one".