820835 has 8 divisors (see below), whose sum is σ = 991536. Its totient is φ = 652320.

The previous prime is 820793. The next prime is 820837. The reversal of 820835 is 538028.

It is a Cunningham number, because it is equal to 906²-1.

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

It is not a de Polignac number, because 820835 - 2¹⁰ = 819811 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (820837) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 452 + ... + 1358.

It is an arithmetic number, because the mean of its divisors is an integer number (123942).

2⁸²⁰⁸³⁵ is an apocalyptic number.

820835 is a deficient number, since it is larger than the sum of its proper divisors (170701).

820835 is a wasteful number, since it uses less digits than its factorization.

820835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093.

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 820835 is about 905.9994481235. Note that the first 3 decimals coincide. The cubic root of 820835 is about 93.6307758514.

The spelling of 820835 in words is "eight hundred twenty thousand, eight hundred thirty-five".