58906 has 4 divisors (see below), whose sum is σ = 88362. Its totient is φ = 29452.

The previous prime is 58901. The next prime is 58907. The reversal of 58906 is 60985.

58906 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 60985 = 5 ⋅12197.

It can be written as a sum of positive squares in only one way, i.e., 50625 + 8281 = 225^2 + 91^2 .

It is a nialpdrome in base 9.

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 as a sum of consecutive naturals, namely, 14725 + ... + 14728.

2⁵⁸⁹⁰⁶ is an apocalyptic number.

58906 is the 154-th centered pentagonal number.

58906 is a deficient number, since it is larger than the sum of its proper divisors (29456).

58906 is a wasteful number, since it uses less digits than its factorization.

58906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29455.

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 58906 is about 242.7055829601. The cubic root of 58906 is about 38.9092784990.

It can be divided in two parts, 5 and 8906, that added together give a triangular number (8911 = T₁₃₃).

The spelling of 58906 in words is "fifty-eight thousand, nine hundred six".