813405 has 16 divisors (see below), whose sum is σ = 1312704. Its totient is φ = 430080.

The previous prime is 813401. The next prime is 813419. The reversal of 813405 is 504318.

It is not a de Polignac number, because 813405 - 2² = 813401 is a prime.

813405 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813401) 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 in 15 ways as a sum of consecutive naturals, for example, 3037 + ... + 3293.

It is an arithmetic number, because the mean of its divisors is an integer number (82044).

2⁸¹³⁴⁰⁵ is an apocalyptic number.

It is an amenable number.

813405 is a deficient number, since it is larger than the sum of its proper divisors (499299).

813405 is a wasteful number, since it uses less digits than its factorization.

813405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 813405 is about 901.8896828327. The cubic root of 813405 is about 93.3474114252.

It can be divided in two parts, 81 and 3405, that added together give a triangular number (3486 = T₈₃).

The spelling of 813405 in words is "eight hundred thirteen thousand, four hundred five".