257984697 has 16 divisors (see below), whose sum is σ = 355520000. Its totient is φ = 166233600.

The previous prime is 257984689. The next prime is 257984711. The reversal of 257984697 is 796489752.

It is not a de Polignac number, because 257984697 - 2³ = 257984689 is a prime.

It is a super-2 number, since 2×257984697² = 133112207772363618, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257984627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115047 + ... + 117267.

It is an arithmetic number, because the mean of its divisors is an integer number (22220000).

Almost surely, 2^257984697 is an apocalyptic number.

It is an amenable number.

257984697 is a deficient number, since it is larger than the sum of its proper divisors (97535303).

257984697 is a wasteful number, since it uses less digits than its factorization.

257984697 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3504.

The product of its digits is 7620480, while the sum is 57.

The square root of 257984697 is about 16061.9020355623. The cubic root of 257984697 is about 636.5970891806.

The spelling of 257984697 in words is "two hundred fifty-seven million, nine hundred eighty-four thousand, six hundred ninety-seven".