820053 has 24 divisors (see below), whose sum is σ = 1313312. Its totient is φ = 489888.

The previous prime is 820051. The next prime is 820067. The reversal of 820053 is 350028.

It is not a de Polignac number, because 820053 - 2¹ = 820051 is a prime.

It is a plaindrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4950 + ... + 5112.

2⁸²⁰⁰⁵³ is an apocalyptic number.

It is an amenable number.

820053 is a deficient number, since it is larger than the sum of its proper divisors (493259).

820053 is a wasteful number, since it uses less digits than its factorization.

820053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 820053 is about 905.5677776953. The cubic root of 820053 is about 93.6010327521.

The spelling of 820053 in words is "eight hundred twenty thousand, fifty-three".