17157 has 16 divisors (see below), whose sum is σ = 28160. Its totient is φ = 9072.

The previous prime is 17137. The next prime is 17159. The reversal of 17157 is 75171.

17157 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 17157 - 2⁶ = 17093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a d-powerful number, because it can be written as 1 + 7³ + 1 + 5 + 7⁵ .

It is a Duffinian number.

17157 is an undulating number in base 7.

17157 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17159) 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 15 ways as a sum of consecutive naturals, for example, 378 + ... + 420.

It is an arithmetic number, because the mean of its divisors is an integer number (1760).

It is an amenable number.

17157 is a deficient number, since it is larger than the sum of its proper divisors (11003).

17157 is a wasteful number, since it uses less digits than its factorization.

17157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72.

The product of its digits is 245, while the sum is 21.

The square root of 17157 is about 130.9847319347. The cubic root of 17157 is about 25.7917286147.

The spelling of 17157 in words is "seventeen thousand, one hundred fifty-seven".