58938 has 32 divisors (see below), whose sum is σ = 138240. Its totient is φ = 16560.

The previous prime is 58937. The next prime is 58943. The reversal of 58938 is 83985.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 58899 and 58908.

It is not an unprimeable number, because it can be changed into a prime (58937) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1231 + ... + 1277.

It is an arithmetic number, because the mean of its divisors is an integer number (4320).

2⁵⁸⁹³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69120).

58938 is an abundant number, since it is smaller than the sum of its proper divisors (79302).

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

58938 is a wasteful number, since it uses less digits than its factorization.

58938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82.

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

The square root of 58938 is about 242.7714975033. The cubic root of 58938 is about 38.9163228947.

The spelling of 58938 in words is "fifty-eight thousand, nine hundred thirty-eight".