58259 has 8 divisors (see below), whose sum is σ = 64800. Its totient is φ = 52096.

The previous prime is 58243. The next prime is 58271. The reversal of 58259 is 95285.

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

It is a cyclic number.

It is not a de Polignac number, because 58259 - 2⁴ = 58243 is a prime.

It is a super-2 number, since 2×58259² = 6788222162, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 58259.

It is not an unprimeable number, because it can be changed into a prime (58229) 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, 317 + ... + 465.

It is an arithmetic number, because the mean of its divisors is an integer number (8100).

2⁵⁸²⁵⁹ is an apocalyptic number.

58259 is a deficient number, since it is larger than the sum of its proper divisors (6541).

58259 is a wasteful number, since it uses less digits than its factorization.

58259 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189.

The product of its digits is 3600, while the sum is 29.

The square root of 58259 is about 241.3690120956. The cubic root of 58259 is about 38.7662990746.

It can be divided in two parts, 5825 and 9, that multiplied together give a palindrome (52425).

The spelling of 58259 in words is "fifty-eight thousand, two hundred fifty-nine".