38907 has 16 divisors (see below), whose sum is σ = 63360. Its totient is φ = 23400.

The previous prime is 38903. The next prime is 38917. The reversal of 38907 is 70983.

It is a happy number.

It is not a de Polignac number, because 38907 - 2² = 38903 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (38903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232 + ... + 362.

It is an arithmetic number, because the mean of its divisors is an integer number (3960).

2³⁸⁹⁰⁷ is an apocalyptic number.

38907 is the 99-th decagonal number.

38907 is a deficient number, since it is larger than the sum of its proper divisors (24453).

38907 is a wasteful number, since it uses less digits than its factorization.

38907 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 38907 is about 197.2485741393. The cubic root of 38907 is about 33.8851371921.

38907 divided by its sum of digits (27) gives a palindrome (1441).

The spelling of 38907 in words is "thirty-eight thousand, nine hundred seven".