58029 has 12 divisors (see below), whose sum is σ = 83616. Its totient is φ = 35728.

The previous prime is 58027. The next prime is 58031. The reversal of 58029 is 92085.

It is an interprime number because it is at equal distance from previous prime (58027) and next prime (58031).

It is not a de Polignac number, because 58029 - 2¹ = 58027 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1987 + ... + 2015.

It is an arithmetic number, because the mean of its divisors is an integer number (6968).

2⁵⁸⁰²⁹ is an apocalyptic number.

It is an amenable number.

58029 is a deficient number, since it is larger than the sum of its proper divisors (25587).

58029 is a wasteful number, since it uses less digits than its factorization.

58029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 58029 is about 240.8920920246. The cubic root of 58029 is about 38.7152167924.

The spelling of 58029 in words is "fifty-eight thousand, twenty-nine".