180987 has 16 divisors (see below), whose sum is σ = 261888. Its totient is φ = 110880.

The previous prime is 180959. The next prime is 181001. The reversal of 180987 is 789081.

It is not a de Polignac number, because 180987 - 2⁸ = 180731 is a prime.

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 180987.

It is not an unprimeable number, because it can be changed into a prime (180907) 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 in 15 ways as a sum of consecutive naturals, for example, 2937 + ... + 2997.

It is an arithmetic number, because the mean of its divisors is an integer number (16368).

2¹⁸⁰⁹⁸⁷ is an apocalyptic number.

180987 is a deficient number, since it is larger than the sum of its proper divisors (80901).

180987 is a wasteful number, since it uses less digits than its factorization.

180987 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130.

The product of its (nonzero) digits is 4032, while the sum is 33.

The square root of 180987 is about 425.4256691832. The cubic root of 180987 is about 56.5651739627.

The spelling of 180987 in words is "one hundred eighty thousand, nine hundred eighty-seven".