181045973 has 2 divisors, whose sum is σ = 181045974. Its totient is φ = 181045972.

The previous prime is 181045961. The next prime is 181045979. The reversal of 181045973 is 379540181.

181045973 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 161747524 + 19298449 = 12718^2 + 4393^2 .

It is a cyclic number.

It is not a de Polignac number, because 181045973 - 2¹⁰ = 181044949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (181045979) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90522986 + 90522987.

It is an arithmetic number, because the mean of its divisors is an integer number (90522987).

Almost surely, 2^181045973 is an apocalyptic number.

It is an amenable number.

181045973 is a deficient number, since it is larger than the sum of its proper divisors (1).

181045973 is an equidigital number, since it uses as much as digits as its factorization.

181045973 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 181045973 is about 13455.3325116847. The cubic root of 181045973 is about 565.7131704803.

The spelling of 181045973 in words is "one hundred eighty-one million, forty-five thousand, nine hundred seventy-three".