180089973 has 28 divisors (see below), whose sum is σ = 308593248. Its totient is φ = 102905640.

The previous prime is 180089963. The next prime is 180090011. The reversal of 180089973 is 379980081.

It is not a de Polignac number, because 180089973 - 2⁴ = 180089957 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180089953) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 12543 + ... + 22748.

Almost surely, 2^180089973 is an apocalyptic number.

It is an amenable number.

180089973 is a deficient number, since it is larger than the sum of its proper divisors (128503275).

180089973 is an frugal number, since it uses more digits than its factorization.

180089973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35316 (or 35301 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 180089973 is about 13419.7605418279. The cubic root of 180089973 is about 564.7156770303.

The spelling of 180089973 in words is "one hundred eighty million, eighty-nine thousand, nine hundred seventy-three".