171157 has 8 divisors (see below), whose sum is σ = 200000. Its totient is φ = 146412.

The previous prime is 171131. The next prime is 171161. The reversal of 171157 is 751171.

171157 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 171157 - 2⁷ = 171029 is a prime.

It is a Duffinian number.

171157 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94 + ... + 592.

It is an arithmetic number, because the mean of its divisors is an integer number (25000).

2¹⁷¹¹⁵⁷ is an apocalyptic number.

It is an amenable number.

171157 is a deficient number, since it is larger than the sum of its proper divisors (28843).

171157 is an frugal number, since it uses more digits than its factorization.

171157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 506 counting only the distinct ones).

The product of its digits is 245, while the sum is 22.

The square root of 171157 is about 413.7112519620. The cubic root of 171157 is about 55.5219727406.

It can be divided in two parts, 17115 and 7, that multiplied together give a triangular number (119805 = T₄₈₉).

The spelling of 171157 in words is "one hundred seventy-one thousand, one hundred fifty-seven".