256953 has 8 divisors (see below), whose sum is σ = 346528. Its totient is φ = 169344.

The previous prime is 256939. The next prime is 256957. The reversal of 256953 is 359652.

Added to its reverse (359652) it gives a triangular number (616605 = T₁₁₁₀).

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

It is not a de Polignac number, because 256953 - 2⁶ = 256889 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 256953.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 256953.

It is not an unprimeable number, because it can be changed into a prime (256957) 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 7 ways as a sum of consecutive naturals, for example, 151 + ... + 732.

It is an arithmetic number, because the mean of its divisors is an integer number (43316).

2²⁵⁶⁹⁵³ is an apocalyptic number.

It is an amenable number.

256953 is a deficient number, since it is larger than the sum of its proper divisors (89575).

256953 is an equidigital number, since it uses as much as digits as its factorization.

256953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983.

The product of its digits is 8100, while the sum is 30.

The square root of 256953 is about 506.9053166026. The cubic root of 256953 is about 63.5747358221.

Adding to 256953 its reverse (359652), we get a triangular number (616605 = T₁₁₁₀).

The spelling of 256953 in words is "two hundred fifty-six thousand, nine hundred fifty-three".