58406 has 16 divisors (see below), whose sum is σ = 97200. Its totient is φ = 26208.

The previous prime is 58403. The next prime is 58411. The reversal of 58406 is 60485.

It is a super-2 number, since 2×58406² = 6822521672, which contains 22 as substring.

It is a plaindrome in base 15.

It is a nialpdrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58403) 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 in 7 ways as a sum of consecutive naturals, for example, 1076 + ... + 1128.

It is an arithmetic number, because the mean of its divisors is an integer number (6075).

2⁵⁸⁴⁰⁶ is an apocalyptic number.

58406 is a deficient number, since it is larger than the sum of its proper divisors (38794).

58406 is a wasteful number, since it uses less digits than its factorization.

58406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103.

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 58406 is about 241.6733332414. The cubic root of 58406 is about 38.7988769293.

It can be divided in two parts, 58 and 406, that added together give a palindrome (464).

The spelling of 58406 in words is "fifty-eight thousand, four hundred six".