802053 has 24 divisors (see below), whose sum is σ = 1372800. Its totient is φ = 441504.

The previous prime is 802037. The next prime is 802073. The reversal of 802053 is 350208.

It is not a de Polignac number, because 802053 - 2⁴ = 802037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802073) 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, 1608 + ... + 2046.

It is an arithmetic number, because the mean of its divisors is an integer number (57200).

2⁸⁰²⁰⁵³ is an apocalyptic number.

It is an amenable number.

802053 is a deficient number, since it is larger than the sum of its proper divisors (570747).

802053 is a wasteful number, since it uses less digits than its factorization.

802053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 478 counting only the distinct ones).

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

The square root of 802053 is about 895.5741175358. The cubic root of 802053 is about 92.9111186894.

It can be divided in two parts, 80205 and 3, that added together give a palindrome (80208).

The spelling of 802053 in words is "eight hundred two thousand, fifty-three".