2256705 has 48 divisors (see below), whose sum is σ = 4402944. Its totient is φ = 1059840.

The previous prime is 2256703. The next prime is 2256713. The reversal of 2256705 is 5076522.

2256705 = 276² + 277² + ... + 302².

It is not a de Polignac number, because 2256705 - 2¹ = 2256703 is a prime.

2256705 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2256703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23217 + ... + 23313.

It is an arithmetic number, because the mean of its divisors is an integer number (91728).

2^2256705 is an apocalyptic number.

It is an amenable number.

2256705 is a deficient number, since it is larger than the sum of its proper divisors (2146239).

2256705 is a wasteful number, since it uses less digits than its factorization.

2256705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 2256705 is about 1502.2333374014. The cubic root of 2256705 is about 131.1671041176.

The spelling of 2256705 in words is "two million, two hundred fifty-six thousand, seven hundred five".