181001729 has 2 divisors, whose sum is σ = 181001730. Its totient is φ = 181001728.

The previous prime is 181001699. The next prime is 181001801. The reversal of 181001729 is 927100181.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 117831025 + 63170704 = 10855^2 + 7948^2 .

It is a cyclic number.

It is not a de Polignac number, because 181001729 - 2²⁴ = 164224513 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (181001129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90500864 + 90500865.

It is an arithmetic number, because the mean of its divisors is an integer number (90500865).

Almost surely, 2^181001729 is an apocalyptic number.

It is an amenable number.

181001729 is a deficient number, since it is larger than the sum of its proper divisors (1).

181001729 is an equidigital number, since it uses as much as digits as its factorization.

181001729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 29.

The square root of 181001729 is about 13453.6883046992. The cubic root of 181001729 is about 565.6670837465.

It can be divided in two parts, 18100172 and 9, that added together give a palindrome (18100181).

The spelling of 181001729 in words is "one hundred eighty-one million, one thousand, seven hundred twenty-nine".