677944257 has 16 divisors (see below), whose sum is σ = 924456192. Its totient is φ = 441801360.

The previous prime is 677944243. The next prime is 677944259. The reversal of 677944257 is 752449776.

It is not a de Polignac number, because 677944257 - 2¹⁵ = 677911489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (677944259) 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, 13458 + ... + 39204.

It is an arithmetic number, because the mean of its divisors is an integer number (57778512).

Almost surely, 2^677944257 is an apocalyptic number.

677944257 is a gapful number since it is divisible by the number (67) formed by its first and last digit.

It is an amenable number.

677944257 is a deficient number, since it is larger than the sum of its proper divisors (246511935).

677944257 is a wasteful number, since it uses less digits than its factorization.

677944257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25948.

The product of its digits is 2963520, while the sum is 51.

The square root of 677944257 is about 26037.3627120721. The cubic root of 677944257 is about 878.4788877988.

The spelling of 677944257 in words is "six hundred seventy-seven million, nine hundred forty-four thousand, two hundred fifty-seven".