38503 has 4 divisors (see below), whose sum is σ = 38920. Its totient is φ = 38088.

The previous prime is 38501. The next prime is 38543. The reversal of 38503 is 30583.

38503 is a nontrivial binomial coefficient, being equal to C(278, 2).

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a 3-Lehmer number, since φ(38503) divides (38503-1)³.

It is a cyclic number.

It is not a de Polignac number, because 38503 - 2¹ = 38501 is a prime.

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

It is a deceptive number, since it divides R₃₈₅₀₂.

38503 is a lucky number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38501) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1 + ... + 277.

It is an arithmetic number, because the mean of its divisors is an integer number (9730).

2³⁸⁵⁰³ is an apocalyptic number.

38503 is the 277-th triangular number and also the 139-th hexagonal number.

38503 is the 93-rd centered nonagonal number.

38503 is a deficient number, since it is larger than the sum of its proper divisors (417).

38503 is a wasteful number, since it uses less digits than its factorization.

38503 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 38503 is about 196.2218132624. The cubic root of 38503 is about 33.7674441144.

The spelling of 38503 in words is "thirty-eight thousand, five hundred three".