58921 has 2 divisors, whose sum is σ = 58922. Its totient is φ = 58920.

The previous prime is 58913. The next prime is 58937. The reversal of 58921 is 12985.

58921 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 44521 + 14400 = 211^2 + 120^2 .

It is a cyclic number.

It is not a de Polignac number, because 58921 - 2³ = 58913 is a prime.

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

It is equal to p₅₉₅₆ and since 58921 and 5956 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (58901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29460 + 29461.

It is an arithmetic number, because the mean of its divisors is an integer number (29461).

58921 is a Friedman number, since it can be written as 9^5-128, using all its digits and the basic arithmetic operations.

2⁵⁸⁹²¹ is an apocalyptic number.

It is an amenable number.

58921 is a deficient number, since it is larger than the sum of its proper divisors (1).

58921 is an equidigital number, since it uses as much as digits as its factorization.

58921 is an evil number, because the sum of its binary digits is even.

The product of its digits is 720, while the sum is 25.

The square root of 58921 is about 242.7364826309. The cubic root of 58921 is about 38.9125808771.

It can be divided in two parts, 58 and 921, that added together give a palindrome (979).

The spelling of 58921 in words is "fifty-eight thousand, nine hundred twenty-one".