813105 has 32 divisors (see below), whose sum is σ = 1526400. Its totient is φ = 409536.

The previous prime is 813097. The next prime is 813107. The reversal of 813105 is 501318.

It is a happy number.

It is not a de Polignac number, because 813105 - 2³ = 813097 is a prime.

It is a super-2 number, since 2×813105² = 1322279482050, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2407 + ... + 2723.

It is an arithmetic number, because the mean of its divisors is an integer number (47700).

2⁸¹³¹⁰⁵ is an apocalyptic number.

It is an amenable number.

813105 is a deficient number, since it is larger than the sum of its proper divisors (713295).

813105 is a wasteful number, since it uses less digits than its factorization.

813105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 813105 is about 901.7233500359. The cubic root of 813105 is about 93.3359338845.

The spelling of 813105 in words is "eight hundred thirteen thousand, one hundred five".