820353 has 8 divisors (see below), whose sum is σ = 1129216. Its totient is φ = 529200.

The previous prime is 820349. The next prime is 820361. The reversal of 820353 is 353028.

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

It is not a de Polignac number, because 820353 - 2² = 820349 is a prime.

It is a Duffinian number.

820353 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (820333) 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, 4318 + ... + 4503.

It is an arithmetic number, because the mean of its divisors is an integer number (141152).

2⁸²⁰³⁵³ is an apocalyptic number.

It is an amenable number.

820353 is a deficient number, since it is larger than the sum of its proper divisors (308863).

820353 is a wasteful number, since it uses less digits than its factorization.

820353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8855.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 820353 is about 905.7334044850. The cubic root of 820353 is about 93.6124453829.

It can be divided in two parts, 8203 and 53, that added together give a triangular number (8256 = T₁₂₈).

The spelling of 820353 in words is "eight hundred twenty thousand, three hundred fifty-three".