38003 has 8 divisors (see below), whose sum is σ = 44640. Its totient is φ = 31680.

The previous prime is 37997. The next prime is 38011. The reversal of 38003 is 30083.

It is a happy number.

38003 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 38003 - 2⁴ = 37987 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38003.

It is not an unprimeable number, because it can be changed into a prime (38053) 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, 383 + ... + 471.

It is an arithmetic number, because the mean of its divisors is an integer number (5580).

2³⁸⁰⁰³ is an apocalyptic number.

38003 is a deficient number, since it is larger than the sum of its proper divisors (6637).

38003 is an equidigital number, since it uses as much as digits as its factorization.

38003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 38003 is about 194.9435815820. The cubic root of 38003 is about 33.6206387751.

Adding to 38003 its reverse (30083), we get a palindrome (68086).

The spelling of 38003 in words is "thirty-eight thousand, three".