813406 has 8 divisors (see below), whose sum is σ = 1331064. Its totient is φ = 369720.

The previous prime is 813401. The next prime is 813419. The reversal of 813406 is 604318.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Harshad number since it is a multiple of its sum of digits (22), and also a Moran number because the ratio is a prime number: 36973 = 813406 / (8 + 1 + 3 + 4 + 0 + 6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813401) by changing a digit.

813406 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 18465 + ... + 18508.

It is an arithmetic number, because the mean of its divisors is an integer number (166383).

2⁸¹³⁴⁰⁶ is an apocalyptic number.

813406 is a deficient number, since it is larger than the sum of its proper divisors (517658).

813406 is a wasteful number, since it uses less digits than its factorization.

813406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36986.

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 813406 is about 901.8902372240. The cubic root of 813406 is about 93.3474496789.

It can be divided in two parts, 813 and 406, that multiplied together give a triangular number (330078 = T₈₁₂).

The spelling of 813406 in words is "eight hundred thirteen thousand, four hundred six".