38873 has 2 divisors, whose sum is σ = 38874. Its totient is φ = 38872.

The previous prime is 38867. The next prime is 38891. The reversal of 38873 is 37883.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 38809 + 64 = 197^2 + 8^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-38873 is a prime.

It is a super-2 number, since 2×38873² = 3022220258, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (38803) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19436 + 19437.

It is an arithmetic number, because the mean of its divisors is an integer number (19437).

2³⁸⁸⁷³ is an apocalyptic number.

It is an amenable number.

38873 is a deficient number, since it is larger than the sum of its proper divisors (1).

38873 is an equidigital number, since it uses as much as digits as its factorization.

38873 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4032, while the sum is 29.

The square root of 38873 is about 197.1623696348. The cubic root of 38873 is about 33.8752638152.

Subtracting from 38873 its reverse (37883), we obtain a triangular number (990 = T₄₄).

The spelling of 38873 in words is "thirty-eight thousand, eight hundred seventy-three".