58254 has 32 divisors (see below), whose sum is σ = 142080. Its totient is φ = 15552.

The previous prime is 58243. The next prime is 58271. The reversal of 58254 is 45285.

58254 = T₅₀ + T₅₁ + ... + T₇₇.

58254 is an undulating number in base 8.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 58254.

It is an unprimeable number.

58254 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 15 ways as a sum of consecutive naturals, for example, 762 + ... + 834.

It is an arithmetic number, because the mean of its divisors is an integer number (4440).

2⁵⁸²⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71040).

58254 is an abundant number, since it is smaller than the sum of its proper divisors (83826).

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

58254 is a wasteful number, since it uses less digits than its factorization.

58254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104.

The product of its digits is 1600, while the sum is 24.

The square root of 58254 is about 241.3586542886. The cubic root of 58254 is about 38.7651900211.

It can be divided in two parts, 582 and 54, that added together give a palindrome (636).

The spelling of 58254 in words is "fifty-eight thousand, two hundred fifty-four".