827168 has 12 divisors (see below), whose sum is σ = 1628550. Its totient is φ = 413568.

The previous prime is 827161. The next prime is 827213. The reversal of 827168 is 861728.

It can be written as a sum of positive squares in only one way, i.e., 824464 + 2704 = 908^2 + 52^2 .

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 25849 = 827168 / (8 + 2 + 7 + 1 + 6 + 8).

It is not an unprimeable number, because it can be changed into a prime (827161) by changing a digit.

827168 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 as a sum of consecutive naturals, namely, 12893 + ... + 12956.

2⁸²⁷¹⁶⁸ is an apocalyptic number.

It is an amenable number.

827168 is a deficient number, since it is larger than the sum of its proper divisors (801382).

827168 is a wasteful number, since it uses less digits than its factorization.

827168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25859 (or 25851 counting only the distinct ones).

The product of its digits is 5376, while the sum is 32.

The square root of 827168 is about 909.4877679221. The cubic root of 827168 is about 93.8709561716.

The spelling of 827168 in words is "eight hundred twenty-seven thousand, one hundred sixty-eight".