38506 has 8 divisors (see below), whose sum is σ = 62244. Its totient is φ = 17760.

The previous prime is 38501. The next prime is 38543. The reversal of 38506 is 60583.

38506 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 36481 + 2025 = 191^2 + 45^2 .

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

It is a nialpdrome in base 15.

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, 715 + ... + 766.

2³⁸⁵⁰⁶ is an apocalyptic number.

38506 is a deficient number, since it is larger than the sum of its proper divisors (23738).

38506 is a wasteful number, since it uses less digits than its factorization.

38506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496.

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 38506 is about 196.2294575236. The cubic root of 38506 is about 33.7683210997.

The spelling of 38506 in words is "thirty-eight thousand, five hundred six".