58441 has 2 divisors, whose sum is σ = 58442. Its totient is φ = 58440.

The previous prime is 58439. The next prime is 58451. The reversal of 58441 is 14485.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57600 + 841 = 240^2 + 29^2 .

It is a cyclic number.

It is not a de Polignac number, because 58441 - 2¹ = 58439 is a prime.

Together with 58439, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (58411) 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 as a sum of consecutive naturals, namely, 29220 + 29221.

It is an arithmetic number, because the mean of its divisors is an integer number (29221).

2⁵⁸⁴⁴¹ is an apocalyptic number.

It is an amenable number.

58441 is a deficient number, since it is larger than the sum of its proper divisors (1).

58441 is an equidigital number, since it uses as much as digits as its factorization.

58441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 640, while the sum is 22.

The square root of 58441 is about 241.7457341919. The cubic root of 58441 is about 38.8066255026.

Subtracting from 58441 its reverse (14485), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 584 and 41, that added together give a 4-th power (625 = 5⁴).

The spelling of 58441 in words is "fifty-eight thousand, four hundred forty-one".