17057 has 4 divisors (see below), whose sum is σ = 17556. Its totient is φ = 16560.

The previous prime is 17053. The next prime is 17077. The reversal of 17057 is 75071.

17057 is nontrivially palindromic in base 2 and base 9.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 75071 = 41 ⋅1831.

It can be written as a sum of positive squares in 2 ways, for example, as 10816 + 6241 = 104^2 + 79^2 .

It is a cyclic number.

It is not a de Polignac number, because 17057 - 2² = 17053 is a prime.

It is a Duffinian number.

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

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 194 + ... + 267.

It is an arithmetic number, because the mean of its divisors is an integer number (4389).

2¹⁷⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

17057 is a deficient number, since it is larger than the sum of its proper divisors (499).

17057 is an equidigital number, since it uses as much as digits as its factorization.

17057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498.

The product of its (nonzero) digits is 245, while the sum is 20.

The square root of 17057 is about 130.6024502067. The cubic root of 17057 is about 25.7415217006.

It can be divided in two parts, 1705 and 7, that multiplied together give a triangular number (11935 = T₁₅₄).

The spelling of 17057 in words is "seventeen thousand, fifty-seven".