257997807 has 24 divisors (see below), whose sum is σ = 382553600. Its totient is φ = 167460048.

The previous prime is 257997793. The next prime is 257997811. The reversal of 257997807 is 708799752.

It is not a de Polignac number, because 257997807 - 2⁶ = 257997743 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257997907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145794 + ... + 147552.

Almost surely, 2^257997807 is an apocalyptic number.

257997807 is a deficient number, since it is larger than the sum of its proper divisors (124555793).

257997807 is a wasteful number, since it uses less digits than its factorization.

257997807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The square root of 257997807 is about 16062.3101389557. The cubic root of 257997807 is about 636.6078723092.

The spelling of 257997807 in words is "two hundred fifty-seven million, nine hundred ninety-seven thousand, eight hundred seven".