58741 has 2 divisors, whose sum is σ = 58742. Its totient is φ = 58740.

The previous prime is 58733. The next prime is 58757. The reversal of 58741 is 14785.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 44100 + 14641 = 210^2 + 121^2 .

It is a cyclic number.

It is not a de Polignac number, because 58741 - 2³ = 58733 is a prime.

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

58741 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (58711) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29370 + 29371.

It is an arithmetic number, because the mean of its divisors is an integer number (29371).

2⁵⁸⁷⁴¹ is an apocalyptic number.

It is an amenable number.

58741 is a deficient number, since it is larger than the sum of its proper divisors (1).

58741 is an equidigital number, since it uses as much as digits as its factorization.

58741 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1120, while the sum is 25.

The square root of 58741 is about 242.3654265773. The cubic root of 58741 is about 38.8729152840.

Subtracting from 58741 its reverse (14785), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 58741 in words is "fifty-eight thousand, seven hundred forty-one".