38973 has 8 divisors (see below), whose sum is σ = 56736. Its totient is φ = 23600.

The previous prime is 38971. The next prime is 38977. The reversal of 38973 is 37983.

38973 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 38973 - 2¹ = 38971 is a prime.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 38973.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 558 + ... + 623.

It is an arithmetic number, because the mean of its divisors is an integer number (7092).

2³⁸⁹⁷³ is an apocalyptic number.

38973 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

38973 is a deficient number, since it is larger than the sum of its proper divisors (17763).

38973 is a wasteful number, since it uses less digits than its factorization.

38973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195.

The product of its digits is 4536, while the sum is 30.

The square root of 38973 is about 197.4158048384. The cubic root of 38973 is about 33.9042867509.

Subtracting from 38973 its reverse (37983), we obtain a triangular number (990 = T₄₄).

The spelling of 38973 in words is "thirty-eight thousand, nine hundred seventy-three".