171745 has 12 divisors (see below), whose sum is σ = 240084. Its totient is φ = 117600.

The previous prime is 171733. The next prime is 171757. The reversal of 171745 is 547171.

It is an interprime number because it is at equal distance from previous prime (171733) and next prime (171757).

It can be written as a sum of positive squares in 2 ways, for example, as 108241 + 63504 = 329^2 + 252^2 .

It is not a de Polignac number, because 171745 - 2⁵ = 171713 is a prime.

It is a Duffinian number.

171745 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106 + ... + 595.

It is an arithmetic number, because the mean of its divisors is an integer number (20007).

2¹⁷¹⁷⁴⁵ is an apocalyptic number.

It is an amenable number.

171745 is a deficient number, since it is larger than the sum of its proper divisors (68339).

171745 is an equidigital number, since it uses as much as digits as its factorization.

171745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 713 counting only the distinct ones).

The product of its digits is 980, while the sum is 25.

The square root of 171745 is about 414.4212832372. The cubic root of 171745 is about 55.5854809147.

The spelling of 171745 in words is "one hundred seventy-one thousand, seven hundred forty-five".