813429 has 16 divisors (see below), whose sum is σ = 1232640. Its totient is φ = 529920.

The previous prime is 813427. The next prime is 813443. The reversal of 813429 is 924318.

It is not a de Polignac number, because 813429 - 2¹ = 813427 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813427) 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, 949 + ... + 1589.

It is an arithmetic number, because the mean of its divisors is an integer number (77040).

2⁸¹³⁴²⁹ is an apocalyptic number.

It is an amenable number.

813429 is a deficient number, since it is larger than the sum of its proper divisors (419211).

813429 is a wasteful number, since it uses less digits than its factorization.

813429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 691 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 813429 is about 901.9029881312. The cubic root of 813429 is about 93.3483295065.

Subtracting 813429 from its reverse (924318), we obtain a square (110889 = 333²).

The spelling of 813429 in words is "eight hundred thirteen thousand, four hundred twenty-nine".