814702849 has 27 divisors (see below), whose sum is σ = 917272713. Its totient is φ = 723393792.

The previous prime is 814702831. The next prime is 814702853. The reversal of 814702849 is 948207418.

The square root of 814702849 is 28543.

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

It can be written as a sum of positive squares in 4 ways, for example, as 102880449 + 711822400 = 10143^2 + 26680^2 .

It is not a de Polignac number, because 814702849 - 2⁹ = 814702337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (814702879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11160277 + ... + 11160349.

Almost surely, 2^814702849 is an apocalyptic number.

814702849 is the 28543-rd square number.

814702849 is the 14272-nd centered octagonal number.

It is an amenable number.

814702849 is a deficient number, since it is larger than the sum of its proper divisors (102569864).

814702849 is an equidigital number, since it uses as much as digits as its factorization.

814702849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The cubic root of 814702849 is about 933.9703265383.

The spelling of 814702849 in words is "eight hundred fourteen million, seven hundred two thousand, eight hundred forty-nine".