58145 has 8 divisors (see below), whose sum is σ = 72360. Its totient is φ = 44800.

The previous prime is 58129. The next prime is 58147. The reversal of 58145 is 54185.

58145 = T₁₅₀ + T₁₅₁ + ... + T₁₅₄.

It can be written as a sum of positive squares in 4 ways, for example, as 22801 + 35344 = 151^2 + 188^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 58145 - 2⁴ = 58129 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 58145.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58147) 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, 56 + ... + 345.

It is an arithmetic number, because the mean of its divisors is an integer number (9045).

2⁵⁸¹⁴⁵ is an apocalyptic number.

It is an amenable number.

58145 is a deficient number, since it is larger than the sum of its proper divisors (14215).

58145 is a wasteful number, since it uses less digits than its factorization.

58145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435.

The product of its digits is 800, while the sum is 23.

The square root of 58145 is about 241.1327435252. The cubic root of 58145 is about 38.7409968678.

It can be divided in two parts, 581 and 45, that added together give a palindrome (626).

The spelling of 58145 in words is "fifty-eight thousand, one hundred forty-five".