803257 has 18 divisors (see below), whose sum is σ = 1022238. Its totient is φ = 628992.

The previous prime is 803251. The next prime is 803269. The reversal of 803257 is 752308.

It can be written as a sum of positive squares in 3 ways, for example, as 441 + 802816 = 21^2 + 896^2 .

It is a de Polignac number, because none of the positive numbers 2^k-803257 is a prime.

803257 is a lucky 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 17 ways as a sum of consecutive naturals, for example, 8233 + ... + 8329.

It is an arithmetic number, because the mean of its divisors is an integer number (56791).

2⁸⁰³²⁵⁷ is an apocalyptic number.

It is an amenable number.

803257 is a deficient number, since it is larger than the sum of its proper divisors (218981).

803257 is a wasteful number, since it uses less digits than its factorization.

803257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 803257 is about 896.2460599634. The cubic root of 803257 is about 92.9575865488.

The spelling of 803257 in words is "eight hundred three thousand, two hundred fifty-seven".