256767 has 8 divisors (see below), whose sum is σ = 391296. Its totient is φ = 146712.

The previous prime is 256757. The next prime is 256771. The reversal of 256767 is 767652.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 256767 - 2⁷ = 256639 is a prime.

It is a d-powerful number, because it can be written as 2¹⁷ + 5 + 7² + 6³ + 6⁵ + 7⁶ .

It is an alternating number because its digits alternate between even and odd.

It is a zygodrome in base 4.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 256767.

It is not an unprimeable number, because it can be changed into a prime (256757) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6093 + ... + 6134.

It is an arithmetic number, because the mean of its divisors is an integer number (48912).

2²⁵⁶⁷⁶⁷ is an apocalyptic number.

256767 is a deficient number, since it is larger than the sum of its proper divisors (134529).

256767 is a wasteful number, since it uses less digits than its factorization.

256767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12237.

The product of its digits is 17640, while the sum is 33.

The square root of 256767 is about 506.7218171739. The cubic root of 256767 is about 63.5593922181.

The spelling of 256767 in words is "two hundred fifty-six thousand, seven hundred sixty-seven".