38307 has 6 divisors (see below), whose sum is σ = 51532. Its totient is φ = 25312.

The previous prime is 38303. The next prime is 38317. The reversal of 38307 is 70383.

38307 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38307 - 2² = 38303 is a prime.

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

It is a Duffinian number.

38307 is a lucky number.

It is a plaindrome in base 13.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (38303) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 283 + ... + 395.

2³⁸³⁰⁷ is an apocalyptic number.

38307 is a deficient number, since it is larger than the sum of its proper divisors (13225).

38307 is an equidigital number, since it uses as much as digits as its factorization.

38307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 38307 is about 195.7217412553. The cubic root of 38307 is about 33.7100487487.

The spelling of 38307 in words is "thirty-eight thousand, three hundred seven".