256653 has 6 divisors (see below), whose sum is σ = 370734. Its totient is φ = 171096.

The previous prime is 256651. The next prime is 256661. The reversal of 256653 is 356652.

256653 is a `hidden beast` number, since 2 + 5 + 6 + 653 = 666.

It can be written as a sum of positive squares in only one way, i.e., 248004 + 8649 = 498^2 + 93^2 .

It is not a de Polignac number, because 256653 - 2¹ = 256651 is a prime.

It is a d-powerful number, because it can be written as 2¹⁴ + 5⁴ + 6³ + 6⁶ + 5⁶ + 3¹¹ .

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14250 + ... + 14267.

It is an arithmetic number, because the mean of its divisors is an integer number (61789).

2²⁵⁶⁶⁵³ is an apocalyptic number.

It is an amenable number.

256653 is a deficient number, since it is larger than the sum of its proper divisors (114081).

256653 is a wasteful number, since it uses less digits than its factorization.

256653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28523 (or 28520 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 256653 is about 506.6093169297. The cubic root of 256653 is about 63.5499844109.

Subtracting 256653 from its reverse (356652), we obtain a palindrome (99999).

It can be divided in two parts, 256 and 653, that added together give a palindrome (909).

The spelling of 256653 in words is "two hundred fifty-six thousand, six hundred fifty-three".