803257257 has 16 divisors (see below), whose sum is σ = 1170392832. Its totient is φ = 485981520.

The previous prime is 803257249. The next prime is 803257261. The reversal of 803257257 is 752752308.

It is not a de Polignac number, because 803257257 - 2³ = 803257249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (803257237) 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, 1363 + ... + 40104.

It is an arithmetic number, because the mean of its divisors is an integer number (73149552).

Almost surely, 2^803257257 is an apocalyptic number.

It is an amenable number.

803257257 is a deficient number, since it is larger than the sum of its proper divisors (367135575).

803257257 is a wasteful number, since it uses less digits than its factorization.

803257257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42068.

The product of its (nonzero) digits is 117600, while the sum is 39.

The square root of 803257257 is about 28341.7934683040. The cubic root of 803257257 is about 929.5759646269.

The spelling of 803257257 in words is "eight hundred three million, two hundred fifty-seven thousand, two hundred fifty-seven".