83058 has 16 divisors (see below), whose sum is σ = 168960. Its totient is φ = 27216.

The previous prime is 83047. The next prime is 83059. The reversal of 83058 is 85038.

It is a super-3 number, since 3×83058³ = 1718959571493336, which contains 333 as substring.

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

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (83059) 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, 591 + ... + 717.

It is an arithmetic number, because the mean of its divisors is an integer number (10560).

2⁸³⁰⁵⁸ is an apocalyptic number.

83058 is an abundant number, since it is smaller than the sum of its proper divisors (85902).

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 (84480).

83058 is a wasteful number, since it uses less digits than its factorization.

83058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 83058 is about 288.1978487081. The cubic root of 83058 is about 43.6308649953.

It can be divided in two parts, 830 and 58, that added together give a palindrome (888).

The spelling of 83058 in words is "eighty-three thousand, fifty-eight".