58066815 has 32 divisors (see below), whose sum is σ = 100011456. Its totient is φ = 28661760.

The previous prime is 58066777. The next prime is 58066829. The reversal of 58066815 is 51866085.

It is not a de Polignac number, because 58066815 - 2⁹ = 58066303 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13689 + ... + 17421.

It is an arithmetic number, because the mean of its divisors is an integer number (3125358).

Almost surely, 2^58066815 is an apocalyptic number.

58066815 is the 6222-nd pentagonal number.

58066815 is a deficient number, since it is larger than the sum of its proper divisors (41944641).

58066815 is a wasteful number, since it uses less digits than its factorization.

58066815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3819.

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 58066815 is about 7620.1584629193. The cubic root of 58066815 is about 387.2362464609.

It can be divided in two parts, 5806 and 6815, that added together give a palindrome (12621).

The spelling of 58066815 in words is "fifty-eight million, sixty-six thousand, eight hundred fifteen".