38889 has 12 divisors (see below), whose sum is σ = 58500. Its totient is φ = 24864.

The previous prime is 38873. The next prime is 38891. The reversal of 38889 is 98883.

38889 is nontrivially palindromic in base 2.

It can be written as a sum of positive squares in 2 ways, for example, as 11664 + 27225 = 108^2 + 165^2 .

It is not a de Polignac number, because 38889 - 2⁴ = 38873 is a prime.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (38839) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187 + ... + 335.

It is an arithmetic number, because the mean of its divisors is an integer number (4875).

2³⁸⁸⁸⁹ is an apocalyptic number.

It is an amenable number.

38889 is a deficient number, since it is larger than the sum of its proper divisors (19611).

38889 is a wasteful number, since it uses less digits than its factorization.

38889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 181 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 38889 is about 197.2029411545. The cubic root of 38889 is about 33.8799108270.

The spelling of 38889 in words is "thirty-eight thousand, eight hundred eighty-nine".