58049 has 2 divisors, whose sum is σ = 58050. Its totient is φ = 58048.

The previous prime is 58043. The next prime is 58057. The reversal of 58049 is 94085.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53824 + 4225 = 232^2 + 65^2 .

It is a cyclic number.

It is not a de Polignac number, because 58049 - 2⁸ = 57793 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a plaindrome in base 15.

It is not a weakly prime, because it can be changed into another prime (58043) 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, 29024 + 29025.

It is an arithmetic number, because the mean of its divisors is an integer number (29025).

2⁵⁸⁰⁴⁹ is an apocalyptic number.

It is an amenable number.

58049 is a deficient number, since it is larger than the sum of its proper divisors (1).

58049 is an equidigital number, since it uses as much as digits as its factorization.

58049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 58049 is about 240.9336008115. The cubic root of 58049 is about 38.7196640825.

The spelling of 58049 in words is "fifty-eight thousand, forty-nine".