829161 has 12 divisors (see below), whose sum is σ = 1206660. Its totient is φ = 548640.

The previous prime is 829159. The next prime is 829177. The reversal of 829161 is 161928.

It can be written as a sum of positive squares in 2 ways, for example, as 275625 + 553536 = 525^2 + 744^2 .

It is not a de Polignac number, because 829161 - 2¹ = 829159 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 829161.

It is not an unprimeable number, because it can be changed into a prime (829111) 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 11 ways as a sum of consecutive naturals, for example, 1375 + ... + 1883.

It is an arithmetic number, because the mean of its divisors is an integer number (100555).

2⁸²⁹¹⁶¹ is an apocalyptic number.

It is an amenable number.

829161 is a deficient number, since it is larger than the sum of its proper divisors (377499).

829161 is a wasteful number, since it uses less digits than its factorization.

829161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 693 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 829161 is about 910.5827804214. The cubic root of 829161 is about 93.9462874066.

It can be divided in two parts, 829 and 161, that added together give a triangular number (990 = T₄₄).

The spelling of 829161 in words is "eight hundred twenty-nine thousand, one hundred sixty-one".