38658 has 16 divisors (see below), whose sum is σ = 82080. Its totient is φ = 12096.

The previous prime is 38653. The next prime is 38669. The reversal of 38658 is 85683.

It is a Curzon number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (38651) by changing a digit.

38658 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88 + ... + 291.

It is an arithmetic number, because the mean of its divisors is an integer number (5130).

2³⁸⁶⁵⁸ is an apocalyptic number.

38658 is an abundant number, since it is smaller than the sum of its proper divisors (43422).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41040).

38658 is a wasteful number, since it uses less digits than its factorization.

38658 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401.

The product of its digits is 5760, while the sum is 30.

The square root of 38658 is about 196.6163777512. The cubic root of 38658 is about 33.8126955331.

It can be divided in two parts, 386 and 58, that added together give a palindrome (444).

The spelling of 38658 in words is "thirty-eight thousand, six hundred fifty-eight".