38993 has 2 divisors, whose sum is σ = 38994. Its totient is φ = 38992.

The previous prime is 38977. The next prime is 39019. The reversal of 38993 is 39983.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29584 + 9409 = 172^2 + 97^2 .

It is an emirp because it is prime and its reverse (39983) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 38993 - 2⁴ = 38977 is a prime.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38993.

It is not a weakly prime, because it can be changed into another prime (38903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19496 + 19497.

It is an arithmetic number, because the mean of its divisors is an integer number (19497).

2³⁸⁹⁹³ is an apocalyptic number.

It is an amenable number.

38993 is a deficient number, since it is larger than the sum of its proper divisors (1).

38993 is an equidigital number, since it uses as much as digits as its factorization.

38993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5832, while the sum is 32.

The square root of 38993 is about 197.4664528471. The cubic root of 38993 is about 33.9100853788.

Subtracting 38993 from its reverse (39983), we obtain a triangular number (990 = T₄₄).

The spelling of 38993 in words is "thirty-eight thousand, nine hundred ninety-three".