38007 has 12 divisors (see below), whose sum is σ = 56784. Its totient is φ = 24480.

The previous prime is 37997. The next prime is 38011. The reversal of 38007 is 70083.

It is not a de Polignac number, because 38007 - 2⁴ = 37991 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 318 + ... + 420.

It is an arithmetic number, because the mean of its divisors is an integer number (4732).

2³⁸⁰⁰⁷ is an apocalyptic number.

38007 is a deficient number, since it is larger than the sum of its proper divisors (18777).

38007 is a wasteful number, since it uses less digits than its factorization.

38007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 38007 is about 194.9538406906. The cubic root of 38007 is about 33.6218183121.

Adding to 38007 its sum of digits (18), we get a square (38025 = 195²).

The spelling of 38007 in words is "thirty-eight thousand, seven".