2256417 has 20 divisors (see below), whose sum is σ = 3419460. Its totient is φ = 1482624.

The previous prime is 2256413. The next prime is 2256431. The reversal of 2256417 is 7146522.

It can be written as a sum of positive squares in 2 ways, for example, as 156816 + 2099601 = 396^2 + 1449^2 .

It is not a de Polignac number, because 2256417 - 2² = 2256413 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2256413) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7053 + ... + 7365.

It is an arithmetic number, because the mean of its divisors is an integer number (170973).

2^2256417 is an apocalyptic number.

2256417 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2256417 is a deficient number, since it is larger than the sum of its proper divisors (1163043).

2256417 is an equidigital number, since it uses as much as digits as its factorization.

2256417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 405 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 2256417 is about 1502.1374770639. The cubic root of 2256417 is about 131.1615240450.

The spelling of 2256417 in words is "two million, two hundred fifty-six thousand, four hundred seventeen".