58141 has 4 divisors (see below), whose sum is σ = 59292. Its totient is φ = 56992.

The previous prime is 58129. The next prime is 58147. The reversal of 58141 is 14185.

58141 = 170² + 171².

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 14185 = 5 ⋅2837.

It can be written as a sum of positive squares in 2 ways, for example, as 29241 + 28900 = 171^2 + 170^2 .

It is a cyclic number.

It is not a de Polignac number, because 58141 - 2⁵ = 58109 is a prime.

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

It is a Duffinian number.

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 polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 496 + ... + 601.

It is an arithmetic number, because the mean of its divisors is an integer number (14823).

2⁵⁸¹⁴¹ is an apocalyptic number.

58141 is the 171-st centered square number and also the 153-rd centered pentagonal number.

It is an amenable number.

58141 is a deficient number, since it is larger than the sum of its proper divisors (1151).

58141 is a wasteful number, since it uses less digits than its factorization.

58141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150.

The product of its digits is 160, while the sum is 19.

The square root of 58141 is about 241.1244491958. The cubic root of 58141 is about 38.7401084707.

Subtracting from 58141 its reverse (14185), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 58141 in words is "fifty-eight thousand, one hundred forty-one".