58253 has 4 divisors (see below), whose sum is σ = 62748. Its totient is φ = 53760.

The previous prime is 58243. The next prime is 58271. The reversal of 58253 is 35285.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 35285 = 5 ⋅7057.

It can be written as a sum of positive squares in 2 ways, for example, as 26569 + 31684 = 163^2 + 178^2 .

It is a cyclic number.

It is not a de Polignac number, because 58253 - 2⁴ = 58237 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2228 + ... + 2253.

It is an arithmetic number, because the mean of its divisors is an integer number (15687).

2⁵⁸²⁵³ is an apocalyptic number.

It is an amenable number.

58253 is a deficient number, since it is larger than the sum of its proper divisors (4495).

58253 is a wasteful number, since it uses less digits than its factorization.

58253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4494.

The product of its digits is 1200, while the sum is 23.

The square root of 58253 is about 241.3565826739. The cubic root of 58253 is about 38.7649682028.

The spelling of 58253 in words is "fifty-eight thousand, two hundred fifty-three".