38073 has 16 divisors (see below), whose sum is σ = 60800. Its totient is φ = 21168.

The previous prime is 38069. The next prime is 38083. The reversal of 38073 is 37083.

38073 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 38073 - 2² = 38069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38053) 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, 1011 + ... + 1047.

It is an arithmetic number, because the mean of its divisors is an integer number (3800).

2³⁸⁰⁷³ is an apocalyptic number.

It is an amenable number.

38073 is a deficient number, since it is larger than the sum of its proper divisors (22727).

38073 is an equidigital number, since it uses as much as digits as its factorization.

38073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 47 counting only the distinct ones).

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

The square root of 38073 is about 195.1230381067. The cubic root of 38073 is about 33.6412687359.

Subtracting from 38073 its reverse (37083), we obtain a triangular number (990 = T₄₄).

The spelling of 38073 in words is "thirty-eight thousand, seventy-three".