825171 has 8 divisors (see below), whose sum is σ = 1148160. Its totient is φ = 526152.

The previous prime is 825161. The next prime is 825191. The reversal of 825171 is 171528.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 825171 - 2⁶ = 825107 is a prime.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (825101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5911 + ... + 6048.

It is an arithmetic number, because the mean of its divisors is an integer number (143520).

2⁸²⁵¹⁷¹ is an apocalyptic number.

825171 is a deficient number, since it is larger than the sum of its proper divisors (322989).

825171 is a wasteful number, since it uses less digits than its factorization.

825171 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11985.

The product of its digits is 560, while the sum is 24.

The square root of 825171 is about 908.3892337539. The cubic root of 825171 is about 93.7953522792.

Adding to 825171 its reverse (171528), we get a palindrome (996699).

It can be divided in two parts, 82 and 5171, that added together give a triangular number (5253 = T₁₀₂).

The spelling of 825171 in words is "eight hundred twenty-five thousand, one hundred seventy-one".