171957 has 12 divisors (see below), whose sum is σ = 242304. Its totient is φ = 108360.

The previous prime is 171947. The next prime is 172001. The reversal of 171957 is 759171.

It is not a de Polignac number, because 171957 - 2¹¹ = 169909 is a prime.

171957 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 171957.

It is not an unprimeable number, because it can be changed into a prime (171917) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3978 + ... + 4020.

It is an arithmetic number, because the mean of its divisors is an integer number (20192).

2¹⁷¹⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

171957 is a deficient number, since it is larger than the sum of its proper divisors (70347).

171957 is an equidigital number, since it uses as much as digits as its factorization.

171957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 77 counting only the distinct ones).

The product of its digits is 2205, while the sum is 30.

The square root of 171957 is about 414.6769827227. The cubic root of 171957 is about 55.6083428642.

It can be divided in two parts, 171 and 957, that added together give a triangular number (1128 = T₄₇).

The spelling of 171957 in words is "one hundred seventy-one thousand, nine hundred fifty-seven".