814406893 has 2 divisors, whose sum is σ = 814406894. Its totient is φ = 814406892.

The previous prime is 814406867. The next prime is 814406897. The reversal of 814406893 is 398604418.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 762753924 + 51652969 = 27618^2 + 7187^2 .

It is a cyclic number.

It is not a de Polignac number, because 814406893 - 2¹³ = 814398701 is a prime.

It is equal to p_41848747 and since 814406893 and 41848747 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (814406897) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 407203446 + 407203447.

It is an arithmetic number, because the mean of its divisors is an integer number (407203447).

Almost surely, 2^814406893 is an apocalyptic number.

It is an amenable number.

814406893 is a deficient number, since it is larger than the sum of its proper divisors (1).

814406893 is an equidigital number, since it uses as much as digits as its factorization.

814406893 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 814406893 is about 28537.8151406165. The cubic root of 814406893 is about 933.8572187960.

The spelling of 814406893 in words is "eight hundred fourteen million, four hundred six thousand, eight hundred ninety-three".