256833 has 6 divisors (see below), whose sum is σ = 370994. Its totient is φ = 171216.

The previous prime is 256831. The next prime is 256873. The reversal of 256833 is 338652.

It can be written as a sum of positive squares in only one way, i.e., 173889 + 82944 = 417^2 + 288^2 .

It is not a de Polignac number, because 256833 - 2¹ = 256831 is a prime.

It is a d-powerful number, because it can be written as 2¹⁷ + 5⁷ + 8 + 6⁶ + 3⁵ + 3⁶ .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 256797 and 256806.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 256833.

It is not an unprimeable number, because it can be changed into a prime (256831) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14260 + ... + 14277.

256833 is a Friedman number, since it can be written as (8^3-5)^2-6^3, using all its digits and the basic arithmetic operations.

2²⁵⁶⁸³³ is an apocalyptic number.

It is an amenable number.

256833 is a deficient number, since it is larger than the sum of its proper divisors (114161).

256833 is a wasteful number, since it uses less digits than its factorization.

256833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28543 (or 28540 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 256833 is about 506.7869374796. The cubic root of 256833 is about 63.5648375706.

It can be divided in two parts, 2568 and 33, that added together give a square (2601 = 51²).

The spelling of 256833 in words is "two hundred fifty-six thousand, eight hundred thirty-three".