38807 has 4 divisors (see below), whose sum is σ = 39216. Its totient is φ = 38400.

The previous prime is 38803. The next prime is 38821. The reversal of 38807 is 70883.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 70883 = 73 ⋅971.

It is a cyclic number.

It is not a de Polignac number, because 38807 - 2² = 38803 is a prime.

It is a Duffinian number.

38807 is an undulating number in base 16.

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38807.

It is not an unprimeable number, because it can be changed into a prime (38803) 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, 23 + ... + 279.

It is an arithmetic number, because the mean of its divisors is an integer number (9804).

2³⁸⁸⁰⁷ is an apocalyptic number.

38807 is a deficient number, since it is larger than the sum of its proper divisors (409).

38807 is a wasteful number, since it uses less digits than its factorization.

38807 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408.

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 38807 is about 196.9949237925. The cubic root of 38807 is about 33.8560814012.

Subtracting from 38807 its sum of digits (26), we obtain a triangular number (38781 = T₂₇₈).

The spelling of 38807 in words is "thirty-eight thousand, eight hundred seven".