171020 has 24 divisors (see below), whose sum is σ = 381024. Its totient is φ = 64256.

The previous prime is 171007. The next prime is 171023. The reversal of 171020 is 20171.

171020 = T₁₆ + T₁₇ + ... + T₁₀₀.

171020 is nontrivially palindromic in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 170992 and 171010.

It is not an unprimeable number, because it can be changed into a prime (171023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89 + ... + 591.

It is an arithmetic number, because the mean of its divisors is an integer number (15876).

2¹⁷¹⁰²⁰ is an apocalyptic number.

171020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 171020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190512).

171020 is an abundant number, since it is smaller than the sum of its proper divisors (210004).

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

171020 is a wasteful number, since it uses less digits than its factorization.

171020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 11.

The square root of 171020 is about 413.5456443973. The cubic root of 171020 is about 55.5071548820.

Adding to 171020 its reverse (20171), we get a palindrome (191191).

The spelling of 171020 in words is "one hundred seventy-one thousand, twenty", and thus it is an iban number.