58929 has 8 divisors (see below), whose sum is σ = 84672. Its totient is φ = 36240.

The previous prime is 58921. The next prime is 58937. The reversal of 58929 is 92985.

58929 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (58921) and next prime (58937).

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

It is not a de Polignac number, because 58929 - 2³ = 58921 is a prime.

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

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 58929.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58921) 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, 717 + ... + 794.

It is an arithmetic number, because the mean of its divisors is an integer number (10584).

2⁵⁸⁹²⁹ is an apocalyptic number.

It is an amenable number.

58929 is a deficient number, since it is larger than the sum of its proper divisors (25743).

58929 is a wasteful number, since it uses less digits than its factorization.

58929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527.

The product of its digits is 6480, while the sum is 33.

The square root of 58929 is about 242.7529608470. The cubic root of 58929 is about 38.9143419162.

The spelling of 58929 in words is "fifty-eight thousand, nine hundred twenty-nine".