58919 has 8 divisors (see below), whose sum is σ = 71040. Its totient is φ = 47736.

The previous prime is 58913. The next prime is 58921. The reversal of 58919 is 91985.

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-58919 is a prime.

It is a super-2 number, since 2×58919² = 6942897122, which contains 22 as substring.

It is a Duffinian number.

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 (58913) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89 + ... + 354.

It is an arithmetic number, because the mean of its divisors is an integer number (8880).

2⁵⁸⁹¹⁹ is an apocalyptic number.

58919 is a deficient number, since it is larger than the sum of its proper divisors (12121).

58919 is a wasteful number, since it uses less digits than its factorization.

58919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469.

The product of its digits is 3240, while the sum is 32.

The square root of 58919 is about 242.7323629020. The cubic root of 58919 is about 38.9121405924.

The spelling of 58919 in words is "fifty-eight thousand, nine hundred nineteen".