823053 has 24 divisors (see below), whose sum is σ = 1395360. Its totient is φ = 426720.

The previous prime is 823051. The next prime is 823117. The reversal of 823053 is 350328.

823053 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 823053 - 2¹ = 823051 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

823053 is a lucky number.

It is a nialpdrome in base 7.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 823053.

It is not an unprimeable number, because it can be changed into a prime (823051) 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, 1363 + ... + 1871.

It is an arithmetic number, because the mean of its divisors is an integer number (58140).

2⁸²³⁰⁵³ is an apocalyptic number.

It is an amenable number.

823053 is a deficient number, since it is larger than the sum of its proper divisors (572307).

823053 is a wasteful number, since it uses less digits than its factorization.

823053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 530 counting only the distinct ones).

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

The square root of 823053 is about 907.2226849016. Note that the first 3 decimals coincide. The cubic root of 823053 is about 93.7150340715.

823053 divided by its sum of digits (21) gives a palindrome (39193).

The spelling of 823053 in words is "eight hundred twenty-three thousand, fifty-three".