813907 has 2 divisors, whose sum is σ = 813908. Its totient is φ = 813906.

The previous prime is 813893. The next prime is 813931. The reversal of 813907 is 709318.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 813907 - 2¹⁵ = 781139 is a prime.

It is an Ulam number.

813907 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 (813997) 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, 406953 + 406954.

It is an arithmetic number, because the mean of its divisors is an integer number (406954).

2⁸¹³⁹⁰⁷ is an apocalyptic number.

813907 is a deficient number, since it is larger than the sum of its proper divisors (1).

813907 is an equidigital number, since it uses as much as digits as its factorization.

813907 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 813907 is about 902.1679444538. The cubic root of 813907 is about 93.3666108661.

The spelling of 813907 in words is "eight hundred thirteen thousand, nine hundred seven".