814007 has 2 divisors, whose sum is σ = 814008. Its totient is φ = 814006.

The previous prime is 814003. The next prime is 814013. The reversal of 814007 is 700418.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 814007 - 2² = 814003 is a prime.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 814007.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 814007.

It is not a weakly prime, because it can be changed into another prime (814003) 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, 407003 + 407004.

It is an arithmetic number, because the mean of its divisors is an integer number (407004).

2⁸¹⁴⁰⁰⁷ is an apocalyptic number.

814007 is a deficient number, since it is larger than the sum of its proper divisors (1).

814007 is an equidigital number, since it uses as much as digits as its factorization.

814007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 814007 is about 902.2233648050. The cubic root of 814007 is about 93.3704345129.

The spelling of 814007 in words is "eight hundred fourteen thousand, seven".