58349 has 8 divisors (see below), whose sum is σ = 63840. Its totient is φ = 53136.

The previous prime is 58337. The next prime is 58363. The reversal of 58349 is 94385.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-58349 is a prime.

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

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 662 + ... + 744.

It is an arithmetic number, because the mean of its divisors is an integer number (7980).

2⁵⁸³⁴⁹ is an apocalyptic number.

It is an amenable number.

58349 is a deficient number, since it is larger than the sum of its proper divisors (5491).

58349 is a wasteful number, since it uses less digits than its factorization.

58349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139.

The product of its digits is 4320, while the sum is 29.

The square root of 58349 is about 241.5553766738. Note that the first 3 decimals coincide. The cubic root of 58349 is about 38.7862511956.

The spelling of 58349 in words is "fifty-eight thousand, three hundred forty-nine".