8185363729 has 3 divisors (see below), whose sum is σ = 8185454203. Its totient is φ = 8185273256.

The previous prime is 8185363699. The next prime is 8185363733. The reversal of 8185363729 is 9273635818.

The square root of 8185363729 is 90473.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 9273635818 = 2 ⋅4636817909.

It can be written as a sum of positive squares in only one way, i.e., 6597500625 + 1587863104 = 81225^2 + 39848^2 .

It is not a de Polignac number, because 8185363729 - 2¹⁹ = 8184839441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8185363429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 45237 + ... + 135709.

Almost surely, 2^8185363729 is an apocalyptic number.

8185363729 is the 90473-rd square number.

8185363729 is the 45237-th centered octagonal number.

It is an amenable number.

8185363729 is a deficient number, since it is larger than the sum of its proper divisors (90474).

8185363729 is an frugal number, since it uses more digits than its factorization.

8185363729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180946 (or 90473 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 52.

The cubic root of 8185363729 is about 2015.3291852800.

The spelling of 8185363729 in words is "eight billion, one hundred eighty-five million, three hundred sixty-three thousand, seven hundred twenty-nine".