17056 has 24 divisors (see below), whose sum is σ = 37044. Its totient is φ = 7680.

The previous prime is 17053. The next prime is 17077. The reversal of 17056 is 65071.

It can be written as a sum of positive squares in 2 ways, for example, as 13456 + 3600 = 116^2 + 60^2 .

It is a Smith number, since the sum of its digits (19) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (17053) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 396 + ... + 436.

2¹⁷⁰⁵⁶ is an apocalyptic number.

17056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18522).

17056 is an abundant number, since it is smaller than the sum of its proper divisors (19988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

17056 is a wasteful number, since it uses less digits than its factorization.

17056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 17056 is about 130.5986217385. The cubic root of 17056 is about 25.7410186417.

It can be divided in two parts, 1705 and 6, that added together give a triangular number (1711 = T₅₈).

The spelling of 17056 in words is "seventeen thousand, fifty-six".