180738233 has 12 divisors (see below), whose sum is σ = 196454160. Its totient is φ = 166201776.

The previous prime is 180738199. The next prime is 180738251. The reversal of 180738233 is 332837081.

It is not a de Polignac number, because 180738233 - 2¹⁰ = 180737209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 180738193 and 180738202.

It is not an unprimeable number, because it can be changed into a prime (180738133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45938 + ... + 49716.

It is an arithmetic number, because the mean of its divisors is an integer number (16371180).

Almost surely, 2^180738233 is an apocalyptic number.

180738233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

180738233 is a deficient number, since it is larger than the sum of its proper divisors (15715927).

180738233 is a wasteful number, since it uses less digits than its factorization.

180738233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4088 (or 4075 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 180738233 is about 13443.8920331874. The cubic root of 180738233 is about 565.3924576402.

The spelling of 180738233 in words is "one hundred eighty million, seven hundred thirty-eight thousand, two hundred thirty-three".