180855 has 12 divisors (see below), whose sum is σ = 313560. Its totient is φ = 96432.

The previous prime is 180847. The next prime is 180871. The reversal of 180855 is 558081.

It is not a de Polignac number, because 180855 - 2³ = 180847 is a prime.

It is an Ulam number.

180855 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 180855.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1965 + ... + 2054.

It is an arithmetic number, because the mean of its divisors is an integer number (26130).

2¹⁸⁰⁸⁵⁵ is an apocalyptic number.

180855 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

180855 is a deficient number, since it is larger than the sum of its proper divisors (132705).

180855 is a wasteful number, since it uses less digits than its factorization.

180855 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4030 (or 4027 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 180855 is about 425.2705021513. The cubic root of 180855 is about 56.5514189805.

It can be divided in two parts, 180 and 855, that added together give a triangular number (1035 = T₄₅).

The spelling of 180855 in words is "one hundred eighty thousand, eight hundred fifty-five".