820853 has 4 divisors (see below), whose sum is σ = 895488. Its totient is φ = 746220.

The previous prime is 820837. The next prime is 820873. The reversal of 820853 is 358028.

820853 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 820853 - 2⁴ = 820837 is a prime.

It is a plaindrome in base 15.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820873) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37301 + ... + 37322.

It is an arithmetic number, because the mean of its divisors is an integer number (223872).

2⁸²⁰⁸⁵³ is an apocalyptic number.

It is an amenable number.

820853 is a deficient number, since it is larger than the sum of its proper divisors (74635).

820853 is a wasteful number, since it uses less digits than its factorization.

820853 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74634.

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

The square root of 820853 is about 906.0093818499. The cubic root of 820853 is about 93.6314602527.

The spelling of 820853 in words is "eight hundred twenty thousand, eight hundred fifty-three".