58248 has 24 divisors (see below), whose sum is σ = 157950. Its totient is φ = 19392.

The previous prime is 58243. The next prime is 58271. The reversal of 58248 is 84285.

It can be written as a sum of positive squares in only one way, i.e., 39204 + 19044 = 198^2 + 138^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (58243) by changing a digit.

58248 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 333 + ... + 476.

2⁵⁸²⁴⁸ is an apocalyptic number.

It is an amenable number.

58248 is an abundant number, since it is smaller than the sum of its proper divisors (99702).

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

58248 is a wasteful number, since it uses less digits than its factorization.

58248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 814 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 58248 is about 241.3462243334. The cubic root of 58248 is about 38.7638590732.

It can be divided in two parts, 5824 and 8, that added together give a cube (5832 = 18³).

The spelling of 58248 in words is "fifty-eight thousand, two hundred forty-eight".