829881 has 24 divisors (see below), whose sum is σ = 1330056. Its totient is φ = 495360.

The previous prime is 829877. The next prime is 829883. The reversal of 829881 is 188928.

829881 = 166² + 167² + ... + 191².

It can be written as a sum of positive squares in 4 ways, for example, as 19881 + 810000 = 141^2 + 900^2 .

It is not a de Polignac number, because 829881 - 2² = 829877 is a prime.

It is a super-2 number, since 2×829881² = 1377404948322, which contains 22 as substring.

829881 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 829881.

It is not an unprimeable number, because it can be changed into a prime (829883) 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 23 ways as a sum of consecutive naturals, for example, 4711 + ... + 4883.

It is an arithmetic number, because the mean of its divisors is an integer number (55419).

2⁸²⁹⁸⁸¹ is an apocalyptic number.

It is an amenable number.

829881 is a deficient number, since it is larger than the sum of its proper divisors (500175).

829881 is a wasteful number, since it uses less digits than its factorization.

829881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 230 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 829881 is about 910.9780458386. The cubic root of 829881 is about 93.9734722185.

The spelling of 829881 in words is "eight hundred twenty-nine thousand, eight hundred eighty-one".