58095 has 12 divisors (see below), whose sum is σ = 100776. Its totient is φ = 30960.

The previous prime is 58073. The next prime is 58099. The reversal of 58095 is 59085.

It is not a de Polignac number, because 58095 - 2⁶ = 58031 is a prime.

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 (58099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 601 + ... + 690.

It is an arithmetic number, because the mean of its divisors is an integer number (8398).

2⁵⁸⁰⁹⁵ is an apocalyptic number.

58095 is a deficient number, since it is larger than the sum of its proper divisors (42681).

58095 is a wasteful number, since it uses less digits than its factorization.

58095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1299 counting only the distinct ones).

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

The square root of 58095 is about 241.0290438931. The cubic root of 58095 is about 38.7298889746.

Adding to 58095 its product of nonzero digits (1800), we get a palindrome (59895).

Subtracting 58095 from its reverse (59085), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 5 and 8095, that added together give a square (8100 = 90²).

The spelling of 58095 in words is "fifty-eight thousand, ninety-five".