38387 has 4 divisors (see below), whose sum is σ = 40080. Its totient is φ = 36696.

The previous prime is 38377. The next prime is 38393. The reversal of 38387 is 78383.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 78383 = 103 ⋅761.

It is a cyclic number.

It is not a de Polignac number, because 38387 - 2⁴ = 38371 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38317) 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, 812 + ... + 857.

It is an arithmetic number, because the mean of its divisors is an integer number (10020).

2³⁸³⁸⁷ is an apocalyptic number.

38387 is a deficient number, since it is larger than the sum of its proper divisors (1693).

38387 is a wasteful number, since it uses less digits than its factorization.

38387 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692.

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

The square root of 38387 is about 195.9260064412. The cubic root of 38387 is about 33.7334990210.

Adding to 38387 its sum of digits (29), we get a 4-th power (38416 = 14⁴).

It can be divided in two parts, 38 and 387, that multiplied together give a triangular number (14706 = T₁₇₁).

The spelling of 38387 in words is "thirty-eight thousand, three hundred eighty-seven".