38693 has 2 divisors, whose sum is σ = 38694. Its totient is φ = 38692.

The previous prime is 38677. The next prime is 38699. The reversal of 38693 is 39683.

38693 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37249 + 1444 = 193^2 + 38^2 .

It is a cyclic number.

It is not a de Polignac number, because 38693 - 2⁴ = 38677 is a prime.

It is a plaindrome in base 8.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38699) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19346 + 19347.

It is an arithmetic number, because the mean of its divisors is an integer number (19347).

2³⁸⁶⁹³ is an apocalyptic number.

It is an amenable number.

38693 is a deficient number, since it is larger than the sum of its proper divisors (1).

38693 is an equidigital number, since it uses as much as digits as its factorization.

38693 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3888, while the sum is 29.

The square root of 38693 is about 196.7053634246. The cubic root of 38693 is about 33.8228968487.

Subtracting 38693 from its reverse (39683), we obtain a triangular number (990 = T₄₄).

The spelling of 38693 in words is "thirty-eight thousand, six hundred ninety-three".