58362 has 16 divisors (see below), whose sum is σ = 119232. Its totient is φ = 19040.

The previous prime is 58337. The next prime is 58363. The reversal of 58362 is 26385.

It is a super-2 number, since 2×58362² = 6812246088, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a d-powerful number, because it can be written as 5² + 8⁴ + 3⁸ + 6⁶ + 2¹⁰ .

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (58363) 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, 358 + ... + 494.

It is an arithmetic number, because the mean of its divisors is an integer number (7452).

2⁵⁸³⁶² is an apocalyptic number.

58362 is an abundant number, since it is smaller than the sum of its proper divisors (60870).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59616).

58362 is a wasteful number, since it uses less digits than its factorization.

58362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213.

The product of its digits is 1440, while the sum is 24.

The square root of 58362 is about 241.5822841187. The cubic root of 58362 is about 38.7891314724.

The spelling of 58362 in words is "fifty-eight thousand, three hundred sixty-two".