58849 has 6 divisors (see below), whose sum is σ = 68514. Its totient is φ = 50400.

The previous prime is 58831. The next prime is 58889. The reversal of 58849 is 94885.

It can be written as a sum of positive squares in only one way, i.e., 30625 + 28224 = 175^2 + 168^2 .

It is not a de Polignac number, because 58849 - 2⁹ = 58337 is a prime.

It is a Duffinian number.

58849 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58889) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 552 + ... + 649.

It is an arithmetic number, because the mean of its divisors is an integer number (11419).

It is the magic constant of a 49 × 49 magic square.

2⁵⁸⁸⁴⁹ is an apocalyptic number.

It is an amenable number.

58849 is a deficient number, since it is larger than the sum of its proper divisors (9665).

58849 is a wasteful number, since it uses less digits than its factorization.

58849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1208 counting only the distinct ones).

The product of its digits is 11520, while the sum is 34.

The square root of 58849 is about 242.5881283163. The cubic root of 58849 is about 38.8967243471.

The spelling of 58849 in words is "fifty-eight thousand, eight hundred forty-nine".