825168 has 20 divisors (see below), whose sum is σ = 2131808. Its totient is φ = 275040.

The previous prime is 825161. The next prime is 825191. The reversal of 825168 is 861528.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825161) by changing a digit.

825168 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8548 + ... + 8643.

2⁸²⁵¹⁶⁸ is an apocalyptic number.

It is an amenable number.

825168 is an abundant number, since it is smaller than the sum of its proper divisors (1306640).

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

825168 is a wasteful number, since it uses less digits than its factorization.

825168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17202 (or 17196 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 825168 is about 908.3875824779. The cubic root of 825168 is about 93.7952386113.

The spelling of 825168 in words is "eight hundred twenty-five thousand, one hundred sixty-eight".