814393 has 2 divisors, whose sum is σ = 814394. Its totient is φ = 814392.

The previous prime is 814381. The next prime is 814399. The reversal of 814393 is 393418.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 514089 + 300304 = 717^2 + 548^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-814393 is a prime.

814393 is a lucky number.

It is a plaindrome in base 15.

It is not a weakly prime, because it can be changed into another prime (814399) 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 as a sum of consecutive naturals, namely, 407196 + 407197.

It is an arithmetic number, because the mean of its divisors is an integer number (407197).

2⁸¹⁴³⁹³ is an apocalyptic number.

It is an amenable number.

814393 is a deficient number, since it is larger than the sum of its proper divisors (1).

814393 is an equidigital number, since it uses as much as digits as its factorization.

814393 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2592, while the sum is 28.

The square root of 814393 is about 902.4372554366. The cubic root of 814393 is about 93.3851908530.

Subtracting from 814393 its product of digits (2592), we obtain a square (811801 = 901²).

The spelling of 814393 in words is "eight hundred fourteen thousand, three hundred ninety-three".