58966985 has 32 divisors (see below), whose sum is σ = 89137152. Its totient is φ = 36377280.

The previous prime is 58966949. The next prime is 58966987.

58966985 is nontrivially palindromic in base 10.

58966985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 58966985 - 2¹⁴ = 58950601 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 58966985.

It is not an unprimeable number, because it can be changed into a prime (58966987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38912 + ... + 40398.

It is an arithmetic number, because the mean of its divisors is an integer number (2785536).

Almost surely, 2^58966985 is an apocalyptic number.

58966985 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

58966985 is a deficient number, since it is larger than the sum of its proper divisors (30170167).

58966985 is a wasteful number, since it uses less digits than its factorization.

58966985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613.

The product of its digits is 4665600, while the sum is 56.

The square root of 58966985 is about 7678.9963536910. The cubic root of 58966985 is about 389.2270137581.

Adding to 58966985 its sum of digits (56), we get a square (58967041 = 7679²).

The spelling of 58966985 in words is "fifty-eight million, nine hundred sixty-six thousand, nine hundred eighty-five".