1256905 has 16 divisors (see below), whose sum is σ = 1656144. Its totient is φ = 910080.

The previous prime is 1256903. The next prime is 1256911. The reversal of 1256905 is 5096521.

1256905 is a nontrivial binomial coefficient, being equal to C(1586, 2).

It can be written as a sum of positive squares in 8 ways, for example, as 698896 + 558009 = 836^2 + 747^2 .

It is not a de Polignac number, because 1256905 - 2¹ = 1256903 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1256903) 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 15 ways as a sum of consecutive naturals, for example, 3807 + ... + 4123.

It is an arithmetic number, because the mean of its divisors is an integer number (103509).

2^1256905 is an apocalyptic number.

1256905 is the 1585-th triangular number and also the 793-rd hexagonal number.

1256905 is the 529-th centered nonagonal number.

It is an amenable number.

1256905 is a deficient number, since it is larger than the sum of its proper divisors (399239).

1256905 is a wasteful number, since it uses less digits than its factorization.

1256905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396.

The product of its (nonzero) digits is 2700, while the sum is 28.

The square root of 1256905 is about 1121.1177458233. The cubic root of 1256905 is about 107.9197220073.

The spelling of 1256905 in words is "one million, two hundred fifty-six thousand, nine hundred five".