814968001 has 2 divisors, whose sum is σ = 814968002. Its totient is φ = 814968000.

The previous prime is 814967999. The next prime is 814968013. The reversal of 814968001 is 100869418.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 418161601 + 396806400 = 20449^2 + 19920^2 .

It is a cyclic number.

It is not a de Polignac number, because 814968001 - 2¹ = 814967999 is a prime.

Together with 814967999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (814963001) 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, 407484000 + 407484001.

It is an arithmetic number, because the mean of its divisors is an integer number (407484001).

Almost surely, 2^814968001 is an apocalyptic number.

It is an amenable number.

814968001 is a deficient number, since it is larger than the sum of its proper divisors (1).

814968001 is an equidigital number, since it uses as much as digits as its factorization.

814968001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 814968001 is about 28547.6444036982. The cubic root of 814968001 is about 934.0716384212.

The spelling of 814968001 in words is "eight hundred fourteen million, nine hundred sixty-eight thousand, one".