58905 has 48 divisors (see below), whose sum is σ = 134784. Its totient is φ = 23040.

The previous prime is 58901. The next prime is 58907. The reversal of 58905 is 50985.

58905 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

58905 is a nontrivial binomial coefficient, being equal to C(36, 4).

It is not a de Polignac number, because 58905 - 2² = 58901 is a prime.

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

It is a Curzon number.

58905 is a lucky number.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3457 + ... + 3473.

It is an arithmetic number, because the mean of its divisors is an integer number (2808).

2⁵⁸⁹⁰⁵ is an apocalyptic number.

58905 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

58905 is an abundant number, since it is smaller than the sum of its proper divisors (75879).

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 (67392).

58905 is a wasteful number, since it uses less digits than its factorization.

58905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 58905 is about 242.7035228422. The cubic root of 58905 is about 38.9090583205.

The spelling of 58905 in words is "fifty-eight thousand, nine hundred five".