58121 has 12 divisors (see below), whose sum is σ = 73152. Its totient is φ = 45144.

The previous prime is 58111. The next prime is 58129. The reversal of 58121 is 12185.

It is not a de Polignac number, because 58121 - 2⁶ = 58057 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 58121.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 58121.

It is not an unprimeable number, because it can be changed into a prime (58129) 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 11 ways as a sum of consecutive naturals, for example, 2516 + ... + 2538.

It is an arithmetic number, because the mean of its divisors is an integer number (6096).

2⁵⁸¹²¹ is an apocalyptic number.

It is an amenable number.

58121 is a deficient number, since it is larger than the sum of its proper divisors (15031).

58121 is a wasteful number, since it uses less digits than its factorization.

58121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 49 counting only the distinct ones).

The product of its digits is 80, while the sum is 17.

The square root of 58121 is about 241.0829732685. The cubic root of 58121 is about 38.7356658741.

The spelling of 58121 in words is "fifty-eight thousand, one hundred twenty-one".