38958 has 16 divisors (see below), whose sum is σ = 80256. Its totient is φ = 12600.

The previous prime is 38953. The next prime is 38959. The reversal of 38958 is 85983.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38953) 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 7 ways as a sum of consecutive naturals, for example, 183 + ... + 333.

It is an arithmetic number, because the mean of its divisors is an integer number (5016).

2³⁸⁹⁵⁸ is an apocalyptic number.

38958 is an abundant number, since it is smaller than the sum of its proper divisors (41298).

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 (40128).

38958 is a wasteful number, since it uses less digits than its factorization.

38958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199.

The product of its digits is 8640, while the sum is 33.

The square root of 38958 is about 197.3778103030. The cubic root of 38958 is about 33.8999364780.

The spelling of 38958 in words is "thirty-eight thousand, nine hundred fifty-eight".