58687 has 2 divisors, whose sum is σ = 58688. Its totient is φ = 58686.

The previous prime is 58679. The next prime is 58693. The reversal of 58687 is 78685.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 58687 - 2³ = 58679 is a prime.

58687 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (58657) 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 as a sum of consecutive naturals, namely, 29343 + 29344.

It is an arithmetic number, because the mean of its divisors is an integer number (29344).

2⁵⁸⁶⁸⁷ is an apocalyptic number.

58687 is a deficient number, since it is larger than the sum of its proper divisors (1).

58687 is an equidigital number, since it uses as much as digits as its factorization.

58687 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13440, while the sum is 34.

The square root of 58687 is about 242.2539989350. The cubic root of 58687 is about 38.8609998077.

Subtracting from 58687 its sum of digits (34), we obtain a triangular number (58653 = T₃₄₂).

Adding to 58687 its product of digits (13440), we get a palindrome (72127).

The spelling of 58687 in words is "fifty-eight thousand, six hundred eighty-seven".