180963 has 6 divisors (see below), whose sum is σ = 261404. Its totient is φ = 120636.

The previous prime is 180959. The next prime is 181001. The reversal of 180963 is 369081.

180963 is digitally balanced in base 2 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 180963 - 2² = 180959 is a prime.

It is a Duffinian number.

180963 is strictly pandigital in base 7.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (180263) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10045 + ... + 10062.

2¹⁸⁰⁹⁶³ is an apocalyptic number.

180963 is a deficient number, since it is larger than the sum of its proper divisors (80441).

180963 is a wasteful number, since it uses less digits than its factorization.

180963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20113 (or 20110 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 180963 is about 425.3974612054. The cubic root of 180963 is about 56.5626735544.

The spelling of 180963 in words is "one hundred eighty thousand, nine hundred sixty-three".