555985 has 16 divisors (see below), whose sum is σ = 732672. Its totient is φ = 403200.

The previous prime is 555967. The next prime is 556007. The reversal of 555985 is 589555.

555985 = 111² + 112² + ... + 144².

555985 is a nontrivial binomial coefficient, being equal to C(1055, 2).

It is not a de Polignac number, because 555985 - 2⁵ = 555953 is a prime.

It is a Duffinian number.

555985 is a lucky number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2530 + ... + 2740.

It is an arithmetic number, because the mean of its divisors is an integer number (45792).

2⁵⁵⁵⁹⁸⁵ is an apocalyptic number.

555985 is the 1054-th triangular number.

555985 is the 352-nd centered nonagonal number.

It is an amenable number.

555985 is a deficient number, since it is larger than the sum of its proper divisors (176687).

555985 is a wasteful number, since it uses less digits than its factorization.

555985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264.

The product of its digits is 45000, while the sum is 37.

The square root of 555985 is about 745.6440169411. The cubic root of 555985 is about 82.2282457103.

It can be divided in two parts, 555 and 985, that added together give a triangular number (1540 = T₅₅).

The spelling of 555985 in words is "five hundred fifty-five thousand, nine hundred eighty-five".