38507 has 4 divisors (see below), whose sum is σ = 44016. Its totient is φ = 33000.

The previous prime is 38501. The next prime is 38543. The reversal of 38507 is 70583.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 38507 - 2¹⁰ = 37483 is a prime.

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

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38507.

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, 2744 + ... + 2757.

It is an arithmetic number, because the mean of its divisors is an integer number (11004).

2³⁸⁵⁰⁷ is an apocalyptic number.

38507 is a deficient number, since it is larger than the sum of its proper divisors (5509).

38507 is an equidigital number, since it uses as much as digits as its factorization.

38507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5508.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 38507 is about 196.2320055445. The cubic root of 38507 is about 33.7686134181.

It can be divided in two parts, 38 and 507, that added together give a palindrome (545).

The spelling of 38507 in words is "thirty-eight thousand, five hundred seven".