803253 has 16 divisors (see below), whose sum is σ = 1184832. Its totient is φ = 480000.

The previous prime is 803251. The next prime is 803269. The reversal of 803253 is 352308.

It is not a de Polignac number, because 803253 - 2¹ = 803251 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3213 + ... + 3453.

It is an arithmetic number, because the mean of its divisors is an integer number (74052).

2⁸⁰³²⁵³ is an apocalyptic number.

It is an amenable number.

803253 is a deficient number, since it is larger than the sum of its proper divisors (381579).

803253 is a wasteful number, since it uses less digits than its factorization.

803253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356.

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

The square root of 803253 is about 896.2438284306. The cubic root of 803253 is about 92.9574322475.

It can be divided in two parts, 80 and 3253, that added together give a palindrome (3333).

The spelling of 803253 in words is "eight hundred three thousand, two hundred fifty-three".