58081 has 3 divisors (see below), whose sum is σ = 58323. Its totient is φ = 57840.

The previous prime is 58073. The next prime is 58099. The reversal of 58081 is 18085.

58081 = T_{240} + T_{241}.

The square root of 58081 is 241.

It is a perfect power (a square), and thus also a powerful number.

58081 is nontrivially palindromic in base 15.

58081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

58081 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 18085 = 5 ⋅3617.

It can be written as a sum of positive squares in only one way, i.e., 43681 + 14400 = 209^2 + 120^2 .

It is not a de Polignac number, because 58081 - 2^{3} = 58073 is a prime.

It is a super-2 number, since 2×58081^{2} = 6746805122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58031) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 121 + ... + 361.

It is an arithmetic number, because the mean of its divisors is an integer number (19441).

2^{58081} is an apocalyptic number.

58081 is the 241-st square number.

58081 is the 121-st centered octagonal number.

It is an amenable number.

58081 is a deficient number, since it is larger than the sum of its proper divisors (242).

58081 is an frugal number, since it uses more digits than its factorization.

58081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The cubic root of 58081 is about 38.7267776225.

The spelling of 58081 in words is "fifty-eight thousand, eighty-one".

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