171540 has 36 divisors (see below), whose sum is σ = 520884. Its totient is φ = 45696.

The previous prime is 171539. The next prime is 171541. The reversal of 171540 is 45171.

It is an interprime number because it is at equal distance from previous prime (171539) and next prime (171541).

It can be written as a sum of positive squares in 2 ways, for example, as 66564 + 104976 = 258^2 + 324^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171541) 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, 297 + ... + 656.

It is an arithmetic number, because the mean of its divisors is an integer number (14469).

2¹⁷¹⁵⁴⁰ is an apocalyptic number.

171540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

171540 is an abundant number, since it is smaller than the sum of its proper divisors (349344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

171540 is a wasteful number, since it uses less digits than its factorization.

171540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 171540 is about 414.1738765301. The cubic root of 171540 is about 55.5633559418.

The spelling of 171540 in words is "one hundred seventy-one thousand, five hundred forty".