38284 has 12 divisors (see below), whose sum is σ = 71064. Its totient is φ = 17984.

The previous prime is 38281. The next prime is 38287. The reversal of 38284 is 48283.

38284 is nontrivially palindromic in base 3.

It is an interprime number because it is at equal distance from previous prime (38281) and next prime (38287).

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (38281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 214 + ... + 349.

It is an arithmetic number, because the mean of its divisors is an integer number (5922).

2³⁸²⁸⁴ is an apocalyptic number.

38284 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

38284 is a deficient number, since it is larger than the sum of its proper divisors (32780).

38284 is a wasteful number, since it uses less digits than its factorization.

38284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 582 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

The square root of 38284 is about 195.6629755472. The cubic root of 38284 is about 33.7033007536.

Subtracting 38284 from its reverse (48283), we obtain a palindrome (9999).

The spelling of 38284 in words is "thirty-eight thousand, two hundred eighty-four".