Search a number
814309 is a prime number
BaseRepresentation
bin11000110110011100101
31112101000121
43012303211
5202024214
625241541
76631036
oct3066345
91471017
10814309
11506891
123332b1
13226852
14172a8d
15111424
hexc6ce5

814309 has 2 divisors, whose sum is σ = 814310. Its totient is φ = 814308.

The previous prime is 814279. The next prime is 814327. The reversal of 814309 is 903418.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 722500 + 91809 = 850^2 + 303^2 .

It is a cyclic number.

It is not a de Polignac number, because 814309 - 29 = 813797 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (814379) 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, 407154 + 407155.

It is an arithmetic number, because the mean of its divisors is an integer number (407155).

2814309 is an apocalyptic number.

It is an amenable number.

814309 is a deficient number, since it is larger than the sum of its proper divisors (1).

814309 is an equidigital number, since it uses as much as digits as its factorization.

814309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 814309 is about 902.3907136047. The cubic root of 814309 is about 93.3819800257.

The spelling of 814309 in words is "eight hundred fourteen thousand, three hundred nine".