813107 has 2 divisors, whose sum is σ = 813108. Its totient is φ = 813106.

The previous prime is 813097. The next prime is 813121. The reversal of 813107 is 701318.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 813107 - 2⁴ = 813091 is a prime.

It is a super-2 number, since 2×813107² = 1322285986898, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (813157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 406553 + 406554.

It is an arithmetic number, because the mean of its divisors is an integer number (406554).

2⁸¹³¹⁰⁷ is an apocalyptic number.

813107 is a deficient number, since it is larger than the sum of its proper divisors (1).

813107 is an equidigital number, since it uses as much as digits as its factorization.

813107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 813107 is about 901.7244590228. The cubic root of 813107 is about 93.3360104107.

The spelling of 813107 in words is "eight hundred thirteen thousand, one hundred seven".