58066085 has 24 divisors (see below), whose sum is σ = 87537408. Its totient is φ = 36194400.

The previous prime is 58066049. The next prime is 58066087.

58066085 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-58066085 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58066087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2621 + ... + 11090.

It is an arithmetic number, because the mean of its divisors is an integer number (3647392).

Almost surely, 2^58066085 is an apocalyptic number.

58066085 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

58066085 is a deficient number, since it is larger than the sum of its proper divisors (29471323).

58066085 is a wasteful number, since it uses less digits than its factorization.

58066085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13745 (or 13734 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The square root of 58066085 is about 7620.1105635023. The cubic root of 58066085 is about 387.2346237117.

The spelling of 58066085 in words is "fifty-eight million, sixty-six thousand, eighty-five".