38389 has 4 divisors (see below), whose sum is σ = 41356. Its totient is φ = 35424.

The previous prime is 38377. The next prime is 38393. The reversal of 38389 is 98383.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 98383 = 37 ⋅2659.

It can be written as a sum of positive squares in 2 ways, for example, as 18225 + 20164 = 135^2 + 142^2 .

It is a cyclic number.

It is not a de Polignac number, because 38389 - 2⁷ = 38261 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

38389 is a lucky number.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 38389.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1464 + ... + 1489.

It is an arithmetic number, because the mean of its divisors is an integer number (10339).

2³⁸³⁸⁹ is an apocalyptic number.

It is an amenable number.

38389 is a deficient number, since it is larger than the sum of its proper divisors (2967).

38389 is a wasteful number, since it uses less digits than its factorization.

38389 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2966.

The product of its digits is 5184, while the sum is 31.

The square root of 38389 is about 195.9311103424. The cubic root of 38389 is about 33.7340848602.

The spelling of 38389 in words is "thirty-eight thousand, three hundred eighty-nine".