180093 has 8 divisors (see below), whose sum is σ = 242208. Its totient is φ = 119024.

The previous prime is 180077. The next prime is 180097. The reversal of 180093 is 390081.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 180093 - 2⁴ = 180077 is a prime.

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180097) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 346 + ... + 692.

It is an arithmetic number, because the mean of its divisors is an integer number (30276).

2¹⁸⁰⁰⁹³ is an apocalyptic number.

It is an amenable number.

180093 is a deficient number, since it is larger than the sum of its proper divisors (62115).

180093 is a wasteful number, since it uses less digits than its factorization.

180093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 180093 is about 424.3736561098. The cubic root of 180093 is about 56.4718840976.

The spelling of 180093 in words is "one hundred eighty thousand, ninety-three".