834909 has 16 divisors (see below), whose sum is σ = 1166400. Its totient is φ = 530816.

The previous prime is 834893. The next prime is 834913. The reversal of 834909 is 909438.

It is a cyclic number.

It is not a de Polignac number, because 834909 - 2⁴ = 834893 is a prime.

It is an alternating number because its digits alternate between even and odd.

834909 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 834909.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (834949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9337 + ... + 9425.

It is an arithmetic number, because the mean of its divisors is an integer number (72900).

2⁸³⁴⁹⁰⁹ is an apocalyptic number.

834909 is a gapful number since it is divisible by the number (89) formed by its first and last digit.

It is an amenable number.

834909 is a deficient number, since it is larger than the sum of its proper divisors (331491).

834909 is a wasteful number, since it uses less digits than its factorization.

834909 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204.

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 834909 is about 913.7335497835. The cubic root of 834909 is about 94.1628759101.

Subtracting 834909 from its reverse (909438), we obtain a square (74529 = 273²).

The spelling of 834909 in words is "eight hundred thirty-four thousand, nine hundred nine".